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Finding the Fourth Proportional to 74.20, 102.42 and 49.66

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Solution

The fourth proportional to 74.20, 102.42 and 49.66 is: 68.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.20 : 102.42 = 49.66 : x
  2. Step 2: Convert to fraction form
    74.20/102.42 = 49.66/x
  3. Step 3: Cross multiply
    74.20x = 102.42 × 49.66
  4. Step 4: Simplify right side
    74.20x = 5,086.18
  5. Step 5: Solve for x
    x = 5,086.18/74.20
  6. Step 6: Final answer
    x = 68.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.