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Finding the Fourth Proportional to 42.61, 63.85 and 25.51

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Solution

The fourth proportional to 42.61, 63.85 and 25.51 is: 38.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.61 : 63.85 = 25.51 : x
  2. Step 2: Convert to fraction form
    42.61/63.85 = 25.51/x
  3. Step 3: Cross multiply
    42.61x = 63.85 × 25.51
  4. Step 4: Simplify right side
    42.61x = 1,628.81
  5. Step 5: Solve for x
    x = 1,628.81/42.61
  6. Step 6: Final answer
    x = 38.23

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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.