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Finding the Fourth Proportional to 132.59, 197.87 and 116.04

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Solution

The fourth proportional to 132.59, 197.87 and 116.04 is: 173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.59 : 197.87 = 116.04 : x
  2. Step 2: Convert to fraction form
    132.59/197.87 = 116.04/x
  3. Step 3: Cross multiply
    132.59x = 197.87 × 116.04
  4. Step 4: Simplify right side
    132.59x = 22,960.25
  5. Step 5: Solve for x
    x = 22,960.25/132.59
  6. Step 6: Final answer
    x = 173.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.