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Finding the Fourth Proportional to 61.52, 84.90 and 35.66

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Solution

The fourth proportional to 61.52, 84.90 and 35.66 is: 49.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.52 : 84.90 = 35.66 : x
  2. Step 2: Convert to fraction form
    61.52/84.90 = 35.66/x
  3. Step 3: Cross multiply
    61.52x = 84.90 × 35.66
  4. Step 4: Simplify right side
    61.52x = 3,027.53
  5. Step 5: Solve for x
    x = 3,027.53/61.52
  6. Step 6: Final answer
    x = 49.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.