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Finding the Fourth Proportional to 65.61, 97.92 and 55.35

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Solution

The fourth proportional to 65.61, 97.92 and 55.35 is: 82.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.61 : 97.92 = 55.35 : x
  2. Step 2: Convert to fraction form
    65.61/97.92 = 55.35/x
  3. Step 3: Cross multiply
    65.61x = 97.92 × 55.35
  4. Step 4: Simplify right side
    65.61x = 5,419.87
  5. Step 5: Solve for x
    x = 5,419.87/65.61
  6. Step 6: Final answer
    x = 82.61

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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.