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Finding the Fourth Proportional to 25.42, 37.95 and 24.68

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Solution

The fourth proportional to 25.42, 37.95 and 24.68 is: 36.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.42 : 37.95 = 24.68 : x
  2. Step 2: Convert to fraction form
    25.42/37.95 = 24.68/x
  3. Step 3: Cross multiply
    25.42x = 37.95 × 24.68
  4. Step 4: Simplify right side
    25.42x = 936.61
  5. Step 5: Solve for x
    x = 936.61/25.42
  6. Step 6: Final answer
    x = 36.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.