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Finding the Fourth Proportional to 24.48, 34.02 and 24.28

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Solution

The fourth proportional to 24.48, 34.02 and 24.28 is: 33.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.48 : 34.02 = 24.28 : x
  2. Step 2: Convert to fraction form
    24.48/34.02 = 24.28/x
  3. Step 3: Cross multiply
    24.48x = 34.02 × 24.28
  4. Step 4: Simplify right side
    24.48x = 826.01
  5. Step 5: Solve for x
    x = 826.01/24.48
  6. Step 6: Final answer
    x = 33.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.