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Finding the Fourth Proportional to 38.86, 58.35 and 31.78

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Solution

The fourth proportional to 38.86, 58.35 and 31.78 is: 47.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.86 : 58.35 = 31.78 : x
  2. Step 2: Convert to fraction form
    38.86/58.35 = 31.78/x
  3. Step 3: Cross multiply
    38.86x = 58.35 × 31.78
  4. Step 4: Simplify right side
    38.86x = 1,854.36
  5. Step 5: Solve for x
    x = 1,854.36/38.86
  6. Step 6: Final answer
    x = 47.72

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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.