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Finding the Fourth Proportional to 50.48, 75.68 and 24.78

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Solution

The fourth proportional to 50.48, 75.68 and 24.78 is: 37.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.48 : 75.68 = 24.78 : x
  2. Step 2: Convert to fraction form
    50.48/75.68 = 24.78/x
  3. Step 3: Cross multiply
    50.48x = 75.68 × 24.78
  4. Step 4: Simplify right side
    50.48x = 1,875.35
  5. Step 5: Solve for x
    x = 1,875.35/50.48
  6. Step 6: Final answer
    x = 37.15

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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.