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Finding the Fourth Proportional to 78.31, 117.48 and 24.20

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Solution

The fourth proportional to 78.31, 117.48 and 24.20 is: 36.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.31 : 117.48 = 24.20 : x
  2. Step 2: Convert to fraction form
    78.31/117.48 = 24.20/x
  3. Step 3: Cross multiply
    78.31x = 117.48 × 24.20
  4. Step 4: Simplify right side
    78.31x = 2,842.31
  5. Step 5: Solve for x
    x = 2,842.31/78.31
  6. Step 6: Final answer
    x = 36.30

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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.