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Finding the Fourth Proportional to 69.84, 105.42 and 69.15

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Solution

The fourth proportional to 69.84, 105.42 and 69.15 is: 104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.84 : 105.42 = 69.15 : x
  2. Step 2: Convert to fraction form
    69.84/105.42 = 69.15/x
  3. Step 3: Cross multiply
    69.84x = 105.42 × 69.15
  4. Step 4: Simplify right side
    69.84x = 7,289.79
  5. Step 5: Solve for x
    x = 7,289.79/69.84
  6. Step 6: Final answer
    x = 104.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.