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Finding the Fourth Proportional to 60.60, 90.87 and 24.53

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Solution

The fourth proportional to 60.60, 90.87 and 24.53 is: 36.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.60 : 90.87 = 24.53 : x
  2. Step 2: Convert to fraction form
    60.60/90.87 = 24.53/x
  3. Step 3: Cross multiply
    60.60x = 90.87 × 24.53
  4. Step 4: Simplify right side
    60.60x = 2,228.59
  5. Step 5: Solve for x
    x = 2,228.59/60.60
  6. Step 6: Final answer
    x = 36.78

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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.