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Finding the Fourth Proportional to 129.17, 194.65 and 117.02

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Solution

The fourth proportional to 129.17, 194.65 and 117.02 is: 176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.17 : 194.65 = 117.02 : x
  2. Step 2: Convert to fraction form
    129.17/194.65 = 117.02/x
  3. Step 3: Cross multiply
    129.17x = 194.65 × 117.02
  4. Step 4: Simplify right side
    129.17x = 22,776.38
  5. Step 5: Solve for x
    x = 22,776.38/129.17
  6. Step 6: Final answer
    x = 176.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.