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Finding the Fourth Proportional to 129.97, 195.01 and 117.10

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Solution

The fourth proportional to 129.97, 195.01 and 117.10 is: 175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.97 : 195.01 = 117.10 : x
  2. Step 2: Convert to fraction form
    129.97/195.01 = 117.10/x
  3. Step 3: Cross multiply
    129.97x = 195.01 × 117.10
  4. Step 4: Simplify right side
    129.97x = 22,834.53
  5. Step 5: Solve for x
    x = 22,834.53/129.97
  6. Step 6: Final answer
    x = 175.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.