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Finding the Fourth Proportional to 71.88, 107.90 and 68.62

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Solution

The fourth proportional to 71.88, 107.90 and 68.62 is: 103.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.88 : 107.90 = 68.62 : x
  2. Step 2: Convert to fraction form
    71.88/107.90 = 68.62/x
  3. Step 3: Cross multiply
    71.88x = 107.90 × 68.62
  4. Step 4: Simplify right side
    71.88x = 7,404.10
  5. Step 5: Solve for x
    x = 7,404.10/71.88
  6. Step 6: Final answer
    x = 103.01

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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.