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Finding the Fourth Proportional to 71.28, 98.32 and 61.52

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Solution

The fourth proportional to 71.28, 98.32 and 61.52 is: 84.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.28 : 98.32 = 61.52 : x
  2. Step 2: Convert to fraction form
    71.28/98.32 = 61.52/x
  3. Step 3: Cross multiply
    71.28x = 98.32 × 61.52
  4. Step 4: Simplify right side
    71.28x = 6,048.65
  5. Step 5: Solve for x
    x = 6,048.65/71.28
  6. Step 6: Final answer
    x = 84.86

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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.