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Finding the Fourth Proportional to 84.97, 117.12 and 60.09

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Solution

The fourth proportional to 84.97, 117.12 and 60.09 is: 82.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.97 : 117.12 = 60.09 : x
  2. Step 2: Convert to fraction form
    84.97/117.12 = 60.09/x
  3. Step 3: Cross multiply
    84.97x = 117.12 × 60.09
  4. Step 4: Simplify right side
    84.97x = 7,037.47
  5. Step 5: Solve for x
    x = 7,037.47/84.97
  6. Step 6: Final answer
    x = 82.82

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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.