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Finding the Fourth Proportional to 24.75, 37.31 and 24.48

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Solution

The fourth proportional to 24.75, 37.31 and 24.48 is: 36.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.75 : 37.31 = 24.48 : x
  2. Step 2: Convert to fraction form
    24.75/37.31 = 24.48/x
  3. Step 3: Cross multiply
    24.75x = 37.31 × 24.48
  4. Step 4: Simplify right side
    24.75x = 913.23
  5. Step 5: Solve for x
    x = 913.23/24.75
  6. Step 6: Final answer
    x = 36.90

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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.