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Finding the Fourth Proportional to 160.09, 240.14 and 129.71

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Solution

The fourth proportional to 160.09, 240.14 and 129.71 is: 194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.09 : 240.14 = 129.71 : x
  2. Step 2: Convert to fraction form
    160.09/240.14 = 129.71/x
  3. Step 3: Cross multiply
    160.09x = 240.14 × 129.71
  4. Step 4: Simplify right side
    160.09x = 31,149.48
  5. Step 5: Solve for x
    x = 31,149.48/160.09
  6. Step 6: Final answer
    x = 194.58

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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.