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Finding the Fourth Proportional to 61.55, 84.87 and 45.14

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Solution

The fourth proportional to 61.55, 84.87 and 45.14 is: 62.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.55 : 84.87 = 45.14 : x
  2. Step 2: Convert to fraction form
    61.55/84.87 = 45.14/x
  3. Step 3: Cross multiply
    61.55x = 84.87 × 45.14
  4. Step 4: Simplify right side
    61.55x = 3,830.61
  5. Step 5: Solve for x
    x = 3,830.61/61.55
  6. Step 6: Final answer
    x = 62.24

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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.