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Finding the Fourth Proportional to 62.40, 93.32 and 50.78

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Solution

The fourth proportional to 62.40, 93.32 and 50.78 is: 75.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.40 : 93.32 = 50.78 : x
  2. Step 2: Convert to fraction form
    62.40/93.32 = 50.78/x
  3. Step 3: Cross multiply
    62.40x = 93.32 × 50.78
  4. Step 4: Simplify right side
    62.40x = 4,738.79
  5. Step 5: Solve for x
    x = 4,738.79/62.40
  6. Step 6: Final answer
    x = 75.94

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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.