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Finding the Fourth Proportional to 69.14, 103.65 and 59.06

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Solution

The fourth proportional to 69.14, 103.65 and 59.06 is: 88.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.14 : 103.65 = 59.06 : x
  2. Step 2: Convert to fraction form
    69.14/103.65 = 59.06/x
  3. Step 3: Cross multiply
    69.14x = 103.65 × 59.06
  4. Step 4: Simplify right side
    69.14x = 6,121.57
  5. Step 5: Solve for x
    x = 6,121.57/69.14
  6. Step 6: Final answer
    x = 88.54

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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.