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Finding the Fourth Proportional to 24.91, 37.21 and 24.38

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Solution

The fourth proportional to 24.91, 37.21 and 24.38 is: 36.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.91 : 37.21 = 24.38 : x
  2. Step 2: Convert to fraction form
    24.91/37.21 = 24.38/x
  3. Step 3: Cross multiply
    24.91x = 37.21 × 24.38
  4. Step 4: Simplify right side
    24.91x = 907.01
  5. Step 5: Solve for x
    x = 907.01/24.91
  6. Step 6: Final answer
    x = 36.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.