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Finding the Fourth Proportional to 65.72, 98.17 and 56.61

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Solution

The fourth proportional to 65.72, 98.17 and 56.61 is: 84.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.72 : 98.17 = 56.61 : x
  2. Step 2: Convert to fraction form
    65.72/98.17 = 56.61/x
  3. Step 3: Cross multiply
    65.72x = 98.17 × 56.61
  4. Step 4: Simplify right side
    65.72x = 5,557.26
  5. Step 5: Solve for x
    x = 5,557.26/65.72
  6. Step 6: Final answer
    x = 84.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.