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Finding the Fourth Proportional to 73.86, 101.97 and 49.02

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Solution

The fourth proportional to 73.86, 101.97 and 49.02 is: 67.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.86 : 101.97 = 49.02 : x
  2. Step 2: Convert to fraction form
    73.86/101.97 = 49.02/x
  3. Step 3: Cross multiply
    73.86x = 101.97 × 49.02
  4. Step 4: Simplify right side
    73.86x = 4,998.57
  5. Step 5: Solve for x
    x = 4,998.57/73.86
  6. Step 6: Final answer
    x = 67.68

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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.