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Finding the Fourth Proportional to 65.96, 98.71 and 41.61

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Solution

The fourth proportional to 65.96, 98.71 and 41.61 is: 62.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.96 : 98.71 = 41.61 : x
  2. Step 2: Convert to fraction form
    65.96/98.71 = 41.61/x
  3. Step 3: Cross multiply
    65.96x = 98.71 × 41.61
  4. Step 4: Simplify right side
    65.96x = 4,107.32
  5. Step 5: Solve for x
    x = 4,107.32/65.96
  6. Step 6: Final answer
    x = 62.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.