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Finding the Fourth Proportional to 67.97, 101.84 and 45.14

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Solution

The fourth proportional to 67.97, 101.84 and 45.14 is: 67.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.97 : 101.84 = 45.14 : x
  2. Step 2: Convert to fraction form
    67.97/101.84 = 45.14/x
  3. Step 3: Cross multiply
    67.97x = 101.84 × 45.14
  4. Step 4: Simplify right side
    67.97x = 4,596.32
  5. Step 5: Solve for x
    x = 4,596.32/67.97
  6. Step 6: Final answer
    x = 67.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.