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Finding the Fourth Proportional to 38.59, 58.16 and 31.90

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Solution

The fourth proportional to 38.59, 58.16 and 31.90 is: 48.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.59 : 58.16 = 31.90 : x
  2. Step 2: Convert to fraction form
    38.59/58.16 = 31.90/x
  3. Step 3: Cross multiply
    38.59x = 58.16 × 31.90
  4. Step 4: Simplify right side
    38.59x = 1,855.30
  5. Step 5: Solve for x
    x = 1,855.30/38.59
  6. Step 6: Final answer
    x = 48.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.