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Finding the Fourth Proportional to 85.05, 126.90 and 71.55

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Solution

The fourth proportional to 85.05, 126.90 and 71.55 is: 106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.05 : 126.90 = 71.55 : x
  2. Step 2: Convert to fraction form
    85.05/126.90 = 71.55/x
  3. Step 3: Cross multiply
    85.05x = 126.90 × 71.55
  4. Step 4: Simplify right side
    85.05x = 9,079.70
  5. Step 5: Solve for x
    x = 9,079.70/85.05
  6. Step 6: Final answer
    x = 106.76

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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.