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Finding the Fourth Proportional to 38.60, 57.66 and 32.54

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Solution

The fourth proportional to 38.60, 57.66 and 32.54 is: 48.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.60 : 57.66 = 32.54 : x
  2. Step 2: Convert to fraction form
    38.60/57.66 = 32.54/x
  3. Step 3: Cross multiply
    38.60x = 57.66 × 32.54
  4. Step 4: Simplify right side
    38.60x = 1,876.26
  5. Step 5: Solve for x
    x = 1,876.26/38.60
  6. Step 6: Final answer
    x = 48.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.