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Finding the Fourth Proportional to 60.89, 91.34 and 24.82

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Solution

The fourth proportional to 60.89, 91.34 and 24.82 is: 37.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.89 : 91.34 = 24.82 : x
  2. Step 2: Convert to fraction form
    60.89/91.34 = 24.82/x
  3. Step 3: Cross multiply
    60.89x = 91.34 × 24.82
  4. Step 4: Simplify right side
    60.89x = 2,267.31
  5. Step 5: Solve for x
    x = 2,267.31/60.89
  6. Step 6: Final answer
    x = 37.24

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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.