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Finding the Fourth Proportional to 50.88, 76.23 and 40.74

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Solution

The fourth proportional to 50.88, 76.23 and 40.74 is: 61.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.88 : 76.23 = 40.74 : x
  2. Step 2: Convert to fraction form
    50.88/76.23 = 40.74/x
  3. Step 3: Cross multiply
    50.88x = 76.23 × 40.74
  4. Step 4: Simplify right side
    50.88x = 3,105.61
  5. Step 5: Solve for x
    x = 3,105.61/50.88
  6. Step 6: Final answer
    x = 61.04

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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.