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Finding the Fourth Proportional to 38.75, 57.98 and 31.52

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Solution

The fourth proportional to 38.75, 57.98 and 31.52 is: 47.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.75 : 57.98 = 31.52 : x
  2. Step 2: Convert to fraction form
    38.75/57.98 = 31.52/x
  3. Step 3: Cross multiply
    38.75x = 57.98 × 31.52
  4. Step 4: Simplify right side
    38.75x = 1,827.75
  5. Step 5: Solve for x
    x = 1,827.75/38.75
  6. Step 6: Final answer
    x = 47.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.