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Finding the Fourth Proportional to 24.71, 34.02 and 23.49

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Solution

The fourth proportional to 24.71, 34.02 and 23.49 is: 32.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.71 : 34.02 = 23.49 : x
  2. Step 2: Convert to fraction form
    24.71/34.02 = 23.49/x
  3. Step 3: Cross multiply
    24.71x = 34.02 × 23.49
  4. Step 4: Simplify right side
    24.71x = 799.13
  5. Step 5: Solve for x
    x = 799.13/24.71
  6. Step 6: Final answer
    x = 32.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.