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Finding the Fourth Proportional to 67.66, 101.53 and 29.14

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Solution

The fourth proportional to 67.66, 101.53 and 29.14 is: 43.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.66 : 101.53 = 29.14 : x
  2. Step 2: Convert to fraction form
    67.66/101.53 = 29.14/x
  3. Step 3: Cross multiply
    67.66x = 101.53 × 29.14
  4. Step 4: Simplify right side
    67.66x = 2,958.58
  5. Step 5: Solve for x
    x = 2,958.58/67.66
  6. Step 6: Final answer
    x = 43.73

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