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Finding the Fourth Proportional to 42.53, 63.81 and 25.40

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Solution

The fourth proportional to 42.53, 63.81 and 25.40 is: 38.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.53 : 63.81 = 25.40 : x
  2. Step 2: Convert to fraction form
    42.53/63.81 = 25.40/x
  3. Step 3: Cross multiply
    42.53x = 63.81 × 25.40
  4. Step 4: Simplify right side
    42.53x = 1,620.93
  5. Step 5: Solve for x
    x = 1,620.93/42.53
  6. Step 6: Final answer
    x = 38.12

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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.