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Finding the Fourth Proportional to 71.40, 106.49 and 67.83

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Solution

The fourth proportional to 71.40, 106.49 and 67.83 is: 101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.40 : 106.49 = 67.83 : x
  2. Step 2: Convert to fraction form
    71.40/106.49 = 67.83/x
  3. Step 3: Cross multiply
    71.40x = 106.49 × 67.83
  4. Step 4: Simplify right side
    71.40x = 7,222.68
  5. Step 5: Solve for x
    x = 7,222.68/71.40
  6. Step 6: Final answer
    x = 101.15

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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.