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Finding the Fourth Proportional to 42.39, 63.45 and 32.15

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Solution

The fourth proportional to 42.39, 63.45 and 32.15 is: 48.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.39 : 63.45 = 32.15 : x
  2. Step 2: Convert to fraction form
    42.39/63.45 = 32.15/x
  3. Step 3: Cross multiply
    42.39x = 63.45 × 32.15
  4. Step 4: Simplify right side
    42.39x = 2,039.60
  5. Step 5: Solve for x
    x = 2,039.60/42.39
  6. Step 6: Final answer
    x = 48.12

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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.