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Finding the Fourth Proportional to 102.15, 140.99 and 69.48

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Solution

The fourth proportional to 102.15, 140.99 and 69.48 is: 95.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.15 : 140.99 = 69.48 : x
  2. Step 2: Convert to fraction form
    102.15/140.99 = 69.48/x
  3. Step 3: Cross multiply
    102.15x = 140.99 × 69.48
  4. Step 4: Simplify right side
    102.15x = 9,795.64
  5. Step 5: Solve for x
    x = 9,795.64/102.15
  6. Step 6: Final answer
    x = 95.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.