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Finding the Fourth Proportional to 94.97, 142.13 and 69.25

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Solution

The fourth proportional to 94.97, 142.13 and 69.25 is: 103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.97 : 142.13 = 69.25 : x
  2. Step 2: Convert to fraction form
    94.97/142.13 = 69.25/x
  3. Step 3: Cross multiply
    94.97x = 142.13 × 69.25
  4. Step 4: Simplify right side
    94.97x = 9,842.51
  5. Step 5: Solve for x
    x = 9,842.51/94.97
  6. Step 6: Final answer
    x = 103.64

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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.