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Finding the Fourth Proportional to 84.28, 116.16 and 55.12

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Solution

The fourth proportional to 84.28, 116.16 and 55.12 is: 75.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.28 : 116.16 = 55.12 : x
  2. Step 2: Convert to fraction form
    84.28/116.16 = 55.12/x
  3. Step 3: Cross multiply
    84.28x = 116.16 × 55.12
  4. Step 4: Simplify right side
    84.28x = 6,402.74
  5. Step 5: Solve for x
    x = 6,402.74/84.28
  6. Step 6: Final answer
    x = 75.97

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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.