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Finding the Fourth Proportional to 69.06, 103.52 and 25.70

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Solution

The fourth proportional to 69.06, 103.52 and 25.70 is: 38.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.06 : 103.52 = 25.70 : x
  2. Step 2: Convert to fraction form
    69.06/103.52 = 25.70/x
  3. Step 3: Cross multiply
    69.06x = 103.52 × 25.70
  4. Step 4: Simplify right side
    69.06x = 2,660.46
  5. Step 5: Solve for x
    x = 2,660.46/69.06
  6. Step 6: Final answer
    x = 38.52

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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.