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Finding the Fourth Proportional to 60.63, 90.96 and 24.57

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Solution

The fourth proportional to 60.63, 90.96 and 24.57 is: 36.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.63 : 90.96 = 24.57 : x
  2. Step 2: Convert to fraction form
    60.63/90.96 = 24.57/x
  3. Step 3: Cross multiply
    60.63x = 90.96 × 24.57
  4. Step 4: Simplify right side
    60.63x = 2,234.89
  5. Step 5: Solve for x
    x = 2,234.89/60.63
  6. Step 6: Final answer
    x = 36.86

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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.