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Finding the Fourth Proportional to 61.91, 85.49 and 42.27

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Solution

The fourth proportional to 61.91, 85.49 and 42.27 is: 58.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.91 : 85.49 = 42.27 : x
  2. Step 2: Convert to fraction form
    61.91/85.49 = 42.27/x
  3. Step 3: Cross multiply
    61.91x = 85.49 × 42.27
  4. Step 4: Simplify right side
    61.91x = 3,613.77
  5. Step 5: Solve for x
    x = 3,613.77/61.91
  6. Step 6: Final answer
    x = 58.37

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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.