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Finding the Fourth Proportional to 69.06, 103.68 and 42.06

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Solution

The fourth proportional to 69.06, 103.68 and 42.06 is: 63.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.06 : 103.68 = 42.06 : x
  2. Step 2: Convert to fraction form
    69.06/103.68 = 42.06/x
  3. Step 3: Cross multiply
    69.06x = 103.68 × 42.06
  4. Step 4: Simplify right side
    69.06x = 4,360.78
  5. Step 5: Solve for x
    x = 4,360.78/69.06
  6. Step 6: Final answer
    x = 63.14

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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.