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Finding the Fourth Proportional to 69.29, 103.85 and 35.07

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Solution

The fourth proportional to 69.29, 103.85 and 35.07 is: 52.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.29 : 103.85 = 35.07 : x
  2. Step 2: Convert to fraction form
    69.29/103.85 = 35.07/x
  3. Step 3: Cross multiply
    69.29x = 103.85 × 35.07
  4. Step 4: Simplify right side
    69.29x = 3,642.02
  5. Step 5: Solve for x
    x = 3,642.02/69.29
  6. Step 6: Final answer
    x = 52.56

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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.