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Finding the Fourth Proportional to 71.46, 106.43 and 69.06

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Solution

The fourth proportional to 71.46, 106.43 and 69.06 is: 102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.46 : 106.43 = 69.06 : x
  2. Step 2: Convert to fraction form
    71.46/106.43 = 69.06/x
  3. Step 3: Cross multiply
    71.46x = 106.43 × 69.06
  4. Step 4: Simplify right side
    71.46x = 7,350.06
  5. Step 5: Solve for x
    x = 7,350.06/71.46
  6. Step 6: Final answer
    x = 102.86

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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.