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Finding the Fourth Proportional to 38.43, 57.50 and 29.81

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Solution

The fourth proportional to 38.43, 57.50 and 29.81 is: 44.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.43 : 57.50 = 29.81 : x
  2. Step 2: Convert to fraction form
    38.43/57.50 = 29.81/x
  3. Step 3: Cross multiply
    38.43x = 57.50 × 29.81
  4. Step 4: Simplify right side
    38.43x = 1,714.13
  5. Step 5: Solve for x
    x = 1,714.13/38.43
  6. Step 6: Final answer
    x = 44.60

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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.