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Finding the Fourth Proportional to 61.01, 91.45 and 24.91

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Solution

The fourth proportional to 61.01, 91.45 and 24.91 is: 37.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.01 : 91.45 = 24.91 : x
  2. Step 2: Convert to fraction form
    61.01/91.45 = 24.91/x
  3. Step 3: Cross multiply
    61.01x = 91.45 × 24.91
  4. Step 4: Simplify right side
    61.01x = 2,278.02
  5. Step 5: Solve for x
    x = 2,278.02/61.01
  6. Step 6: Final answer
    x = 37.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.