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Finding the Fourth Proportional to 61.53, 84.82 and 46.95

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Solution

The fourth proportional to 61.53, 84.82 and 46.95 is: 64.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.53 : 84.82 = 46.95 : x
  2. Step 2: Convert to fraction form
    61.53/84.82 = 46.95/x
  3. Step 3: Cross multiply
    61.53x = 84.82 × 46.95
  4. Step 4: Simplify right side
    61.53x = 3,982.30
  5. Step 5: Solve for x
    x = 3,982.30/61.53
  6. Step 6: Final answer
    x = 64.72

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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.