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Finding the Fourth Proportional to 42.01, 63.03 and 34.45

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Solution

The fourth proportional to 42.01, 63.03 and 34.45 is: 51.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.01 : 63.03 = 34.45 : x
  2. Step 2: Convert to fraction form
    42.01/63.03 = 34.45/x
  3. Step 3: Cross multiply
    42.01x = 63.03 × 34.45
  4. Step 4: Simplify right side
    42.01x = 2,170.90
  5. Step 5: Solve for x
    x = 2,170.90/42.01
  6. Step 6: Final answer
    x = 51.68

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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.