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Finding the Fourth Proportional to 69.12, 103.10 and 59.38

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Solution

The fourth proportional to 69.12, 103.10 and 59.38 is: 88.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.12 : 103.10 = 59.38 : x
  2. Step 2: Convert to fraction form
    69.12/103.10 = 59.38/x
  3. Step 3: Cross multiply
    69.12x = 103.10 × 59.38
  4. Step 4: Simplify right side
    69.12x = 6,121.52
  5. Step 5: Solve for x
    x = 6,121.52/69.12
  6. Step 6: Final answer
    x = 88.56

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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.