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Finding the Fourth Proportional to 24.40, 36.57 and 9.17

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Solution

The fourth proportional to 24.40, 36.57 and 9.17 is: 13.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.40 : 36.57 = 9.17 : x
  2. Step 2: Convert to fraction form
    24.40/36.57 = 9.17/x
  3. Step 3: Cross multiply
    24.40x = 36.57 × 9.17
  4. Step 4: Simplify right side
    24.40x = 335.42
  5. Step 5: Solve for x
    x = 335.42/24.40
  6. Step 6: Final answer
    x = 13.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.