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Finding the Fourth Proportional to 69.70, 104.55 and 18.35

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Solution

The fourth proportional to 69.70, 104.55 and 18.35 is: 27.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.70 : 104.55 = 18.35 : x
  2. Step 2: Convert to fraction form
    69.70/104.55 = 18.35/x
  3. Step 3: Cross multiply
    69.70x = 104.55 × 18.35
  4. Step 4: Simplify right side
    69.70x = 1,918.49
  5. Step 5: Solve for x
    x = 1,918.49/69.70
  6. Step 6: Final answer
    x = 27.53

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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.