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Finding the Fourth Proportional to 69.32, 104.04 and 50.06

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Solution

The fourth proportional to 69.32, 104.04 and 50.06 is: 75.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.32 : 104.04 = 50.06 : x
  2. Step 2: Convert to fraction form
    69.32/104.04 = 50.06/x
  3. Step 3: Cross multiply
    69.32x = 104.04 × 50.06
  4. Step 4: Simplify right side
    69.32x = 5,208.24
  5. Step 5: Solve for x
    x = 5,208.24/69.32
  6. Step 6: Final answer
    x = 75.13

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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.