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Finding the Fourth Proportional to 42.03, 62.75 and 32.85

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Solution

The fourth proportional to 42.03, 62.75 and 32.85 is: 49.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.03 : 62.75 = 32.85 : x
  2. Step 2: Convert to fraction form
    42.03/62.75 = 32.85/x
  3. Step 3: Cross multiply
    42.03x = 62.75 × 32.85
  4. Step 4: Simplify right side
    42.03x = 2,061.42
  5. Step 5: Solve for x
    x = 2,061.42/42.03
  6. Step 6: Final answer
    x = 49.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.