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Finding the Fourth Proportional to 25.87, 38.53 and 24.32

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Solution

The fourth proportional to 25.87, 38.53 and 24.32 is: 36.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.87 : 38.53 = 24.32 : x
  2. Step 2: Convert to fraction form
    25.87/38.53 = 24.32/x
  3. Step 3: Cross multiply
    25.87x = 38.53 × 24.32
  4. Step 4: Simplify right side
    25.87x = 936.86
  5. Step 5: Solve for x
    x = 936.86/25.87
  6. Step 6: Final answer
    x = 36.22

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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.