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Finding the Fourth Proportional to 61.01, 84.16 and 42.65

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Solution

The fourth proportional to 61.01, 84.16 and 42.65 is: 58.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.01 : 84.16 = 42.65 : x
  2. Step 2: Convert to fraction form
    61.01/84.16 = 42.65/x
  3. Step 3: Cross multiply
    61.01x = 84.16 × 42.65
  4. Step 4: Simplify right side
    61.01x = 3,589.42
  5. Step 5: Solve for x
    x = 3,589.42/61.01
  6. Step 6: Final answer
    x = 58.83

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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.