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Finding the Fourth Proportional to 71.38, 106.33 and 69.26

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Solution

The fourth proportional to 71.38, 106.33 and 69.26 is: 103.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.38 : 106.33 = 69.26 : x
  2. Step 2: Convert to fraction form
    71.38/106.33 = 69.26/x
  3. Step 3: Cross multiply
    71.38x = 106.33 × 69.26
  4. Step 4: Simplify right side
    71.38x = 7,363.84
  5. Step 5: Solve for x
    x = 7,363.84/71.38
  6. Step 6: Final answer
    x = 103.16

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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.