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Finding the Fourth Proportional to 74.31, 110.88 and 69.07

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Solution

The fourth proportional to 74.31, 110.88 and 69.07 is: 103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.31 : 110.88 = 69.07 : x
  2. Step 2: Convert to fraction form
    74.31/110.88 = 69.07/x
  3. Step 3: Cross multiply
    74.31x = 110.88 × 69.07
  4. Step 4: Simplify right side
    74.31x = 7,658.48
  5. Step 5: Solve for x
    x = 7,658.48/74.31
  6. Step 6: Final answer
    x = 103.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.