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Finding the Fourth Proportional to 49.76, 74.57 and 29.43

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Solution

The fourth proportional to 49.76, 74.57 and 29.43 is: 44.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.76 : 74.57 = 29.43 : x
  2. Step 2: Convert to fraction form
    49.76/74.57 = 29.43/x
  3. Step 3: Cross multiply
    49.76x = 74.57 × 29.43
  4. Step 4: Simplify right side
    49.76x = 2,194.60
  5. Step 5: Solve for x
    x = 2,194.60/49.76
  6. Step 6: Final answer
    x = 44.10

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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.