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Finding the Fourth Proportional to 24.76, 37.14 and 23.14

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Solution

The fourth proportional to 24.76, 37.14 and 23.14 is: 34.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.76 : 37.14 = 23.14 : x
  2. Step 2: Convert to fraction form
    24.76/37.14 = 23.14/x
  3. Step 3: Cross multiply
    24.76x = 37.14 × 23.14
  4. Step 4: Simplify right side
    24.76x = 859.42
  5. Step 5: Solve for x
    x = 859.42/24.76
  6. Step 6: Final answer
    x = 34.71

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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.