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Finding the Fourth Proportional to 73.14, 109.02 and 68.28

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Solution

The fourth proportional to 73.14, 109.02 and 68.28 is: 101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.14 : 109.02 = 68.28 : x
  2. Step 2: Convert to fraction form
    73.14/109.02 = 68.28/x
  3. Step 3: Cross multiply
    73.14x = 109.02 × 68.28
  4. Step 4: Simplify right side
    73.14x = 7,443.89
  5. Step 5: Solve for x
    x = 7,443.89/73.14
  6. Step 6: Final answer
    x = 101.78

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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.