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Finding the Fourth Proportional to 71.15, 106.66 and 67.95

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Solution

The fourth proportional to 71.15, 106.66 and 67.95 is: 101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.15 : 106.66 = 67.95 : x
  2. Step 2: Convert to fraction form
    71.15/106.66 = 67.95/x
  3. Step 3: Cross multiply
    71.15x = 106.66 × 67.95
  4. Step 4: Simplify right side
    71.15x = 7,247.63
  5. Step 5: Solve for x
    x = 7,247.63/71.15
  6. Step 6: Final answer
    x = 101.87

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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.