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Finding the Fourth Proportional to 84.71, 117.02 and 60.14

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Solution

The fourth proportional to 84.71, 117.02 and 60.14 is: 83.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.71 : 117.02 = 60.14 : x
  2. Step 2: Convert to fraction form
    84.71/117.02 = 60.14/x
  3. Step 3: Cross multiply
    84.71x = 117.02 × 60.14
  4. Step 4: Simplify right side
    84.71x = 7,037.58
  5. Step 5: Solve for x
    x = 7,037.58/84.71
  6. Step 6: Final answer
    x = 83.08

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