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Finding the Fourth Proportional to 42.14, 63.17 and 20.45

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Solution

The fourth proportional to 42.14, 63.17 and 20.45 is: 30.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.14 : 63.17 = 20.45 : x
  2. Step 2: Convert to fraction form
    42.14/63.17 = 20.45/x
  3. Step 3: Cross multiply
    42.14x = 63.17 × 20.45
  4. Step 4: Simplify right side
    42.14x = 1,291.74
  5. Step 5: Solve for x
    x = 1,291.74/42.14
  6. Step 6: Final answer
    x = 30.65

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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.