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Finding the Fourth Proportional to 34.87, 48.12 and 24.53

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Solution

The fourth proportional to 34.87, 48.12 and 24.53 is: 33.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.87 : 48.12 = 24.53 : x
  2. Step 2: Convert to fraction form
    34.87/48.12 = 24.53/x
  3. Step 3: Cross multiply
    34.87x = 48.12 × 24.53
  4. Step 4: Simplify right side
    34.87x = 1,180.29
  5. Step 5: Solve for x
    x = 1,180.29/34.87
  6. Step 6: Final answer
    x = 33.85

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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.