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Finding the Fourth Proportional to 61.98, 85.59 and 42.54

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Solution

The fourth proportional to 61.98, 85.59 and 42.54 is: 58.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.98 : 85.59 = 42.54 : x
  2. Step 2: Convert to fraction form
    61.98/85.59 = 42.54/x
  3. Step 3: Cross multiply
    61.98x = 85.59 × 42.54
  4. Step 4: Simplify right side
    61.98x = 3,641.00
  5. Step 5: Solve for x
    x = 3,641.00/61.98
  6. Step 6: Final answer
    x = 58.74

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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.