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Finding the Fourth Proportional to 42.16, 63.28 and 27.74

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Solution

The fourth proportional to 42.16, 63.28 and 27.74 is: 41.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.16 : 63.28 = 27.74 : x
  2. Step 2: Convert to fraction form
    42.16/63.28 = 27.74/x
  3. Step 3: Cross multiply
    42.16x = 63.28 × 27.74
  4. Step 4: Simplify right side
    42.16x = 1,755.39
  5. Step 5: Solve for x
    x = 1,755.39/42.16
  6. Step 6: Final answer
    x = 41.64

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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.