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Finding the Fourth Proportional to 69.52, 104.29 and 35.35

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Solution

The fourth proportional to 69.52, 104.29 and 35.35 is: 53.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.52 : 104.29 = 35.35 : x
  2. Step 2: Convert to fraction form
    69.52/104.29 = 35.35/x
  3. Step 3: Cross multiply
    69.52x = 104.29 × 35.35
  4. Step 4: Simplify right side
    69.52x = 3,686.65
  5. Step 5: Solve for x
    x = 3,686.65/69.52
  6. Step 6: Final answer
    x = 53.03

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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.