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Finding the Fourth Proportional to 71.97, 99.14 and 65.09

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Solution

The fourth proportional to 71.97, 99.14 and 65.09 is: 89.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.97 : 99.14 = 65.09 : x
  2. Step 2: Convert to fraction form
    71.97/99.14 = 65.09/x
  3. Step 3: Cross multiply
    71.97x = 99.14 × 65.09
  4. Step 4: Simplify right side
    71.97x = 6,452.20
  5. Step 5: Solve for x
    x = 6,452.20/71.97
  6. Step 6: Final answer
    x = 89.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.