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Finding the Fourth Proportional to 74.06, 110.85 and 68.90

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Solution

The fourth proportional to 74.06, 110.85 and 68.90 is: 103.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.06 : 110.85 = 68.90 : x
  2. Step 2: Convert to fraction form
    74.06/110.85 = 68.90/x
  3. Step 3: Cross multiply
    74.06x = 110.85 × 68.90
  4. Step 4: Simplify right side
    74.06x = 7,637.57
  5. Step 5: Solve for x
    x = 7,637.57/74.06
  6. Step 6: Final answer
    x = 103.13

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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.