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Finding the Fourth Proportional to 84.71, 116.96 and 57.14

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Solution

The fourth proportional to 84.71, 116.96 and 57.14 is: 78.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.71 : 116.96 = 57.14 : x
  2. Step 2: Convert to fraction form
    84.71/116.96 = 57.14/x
  3. Step 3: Cross multiply
    84.71x = 116.96 × 57.14
  4. Step 4: Simplify right side
    84.71x = 6,683.09
  5. Step 5: Solve for x
    x = 6,683.09/84.71
  6. Step 6: Final answer
    x = 78.89

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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.