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Finding the Fourth Proportional to 130.57, 194.56 and 116.21

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Solution

The fourth proportional to 130.57, 194.56 and 116.21 is: 173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.57 : 194.56 = 116.21 : x
  2. Step 2: Convert to fraction form
    130.57/194.56 = 116.21/x
  3. Step 3: Cross multiply
    130.57x = 194.56 × 116.21
  4. Step 4: Simplify right side
    130.57x = 22,610.01
  5. Step 5: Solve for x
    x = 22,610.01/130.57
  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.