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Finding the Fourth Proportional to 25.24, 34.76 and 24.24

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Solution

The fourth proportional to 25.24, 34.76 and 24.24 is: 33.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.24 : 34.76 = 24.24 : x
  2. Step 2: Convert to fraction form
    25.24/34.76 = 24.24/x
  3. Step 3: Cross multiply
    25.24x = 34.76 × 24.24
  4. Step 4: Simplify right side
    25.24x = 842.58
  5. Step 5: Solve for x
    x = 842.58/25.24
  6. Step 6: Final answer
    x = 33.38

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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.