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Finding the Fourth Proportional to 73.78, 101.76 and 49.18

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Solution

The fourth proportional to 73.78, 101.76 and 49.18 is: 67.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.78 : 101.76 = 49.18 : x
  2. Step 2: Convert to fraction form
    73.78/101.76 = 49.18/x
  3. Step 3: Cross multiply
    73.78x = 101.76 × 49.18
  4. Step 4: Simplify right side
    73.78x = 5,004.56
  5. Step 5: Solve for x
    x = 5,004.56/73.78
  6. Step 6: Final answer
    x = 67.83

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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.