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Finding the Fourth Proportional to 84.28, 116.28 and 58.42

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Solution

The fourth proportional to 84.28, 116.28 and 58.42 is: 80.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.28 : 116.28 = 58.42 : x
  2. Step 2: Convert to fraction form
    84.28/116.28 = 58.42/x
  3. Step 3: Cross multiply
    84.28x = 116.28 × 58.42
  4. Step 4: Simplify right side
    84.28x = 6,793.08
  5. Step 5: Solve for x
    x = 6,793.08/84.28
  6. Step 6: Final answer
    x = 80.60

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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.