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Finding the Fourth Proportional to 130.54, 194.86 and 116.87

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Solution

The fourth proportional to 130.54, 194.86 and 116.87 is: 174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.54 : 194.86 = 116.87 : x
  2. Step 2: Convert to fraction form
    130.54/194.86 = 116.87/x
  3. Step 3: Cross multiply
    130.54x = 194.86 × 116.87
  4. Step 4: Simplify right side
    130.54x = 22,773.29
  5. Step 5: Solve for x
    x = 22,773.29/130.54
  6. Step 6: Final answer
    x = 174.45

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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.