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Finding the Fourth Proportional to 71.35, 106.95 and 67.30

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Solution

The fourth proportional to 71.35, 106.95 and 67.30 is: 100.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.35 : 106.95 = 67.30 : x
  2. Step 2: Convert to fraction form
    71.35/106.95 = 67.30/x
  3. Step 3: Cross multiply
    71.35x = 106.95 × 67.30
  4. Step 4: Simplify right side
    71.35x = 7,197.72
  5. Step 5: Solve for x
    x = 7,197.72/71.35
  6. Step 6: Final answer
    x = 100.88

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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.