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Finding the Fourth Proportional to 65.75, 98.17 and 55.61

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Solution

The fourth proportional to 65.75, 98.17 and 55.61 is: 83.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.75 : 98.17 = 55.61 : x
  2. Step 2: Convert to fraction form
    65.75/98.17 = 55.61/x
  3. Step 3: Cross multiply
    65.75x = 98.17 × 55.61
  4. Step 4: Simplify right side
    65.75x = 5,458.60
  5. Step 5: Solve for x
    x = 5,458.60/65.75
  6. Step 6: Final answer
    x = 83.03

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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.