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Finding the Fourth Proportional to 130.11, 177.15 and 129.71

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Solution

The fourth proportional to 130.11, 177.15 and 129.71 is: 176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.11 : 177.15 = 129.71 : x
  2. Step 2: Convert to fraction form
    130.11/177.15 = 129.71/x
  3. Step 3: Cross multiply
    130.11x = 177.15 × 129.71
  4. Step 4: Simplify right side
    130.11x = 22,977.24
  5. Step 5: Solve for x
    x = 22,977.24/130.11
  6. Step 6: Final answer
    x = 176.60

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.