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Finding the Fourth Proportional to 74.09, 110.61 and 71.56

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Solution

The fourth proportional to 74.09, 110.61 and 71.56 is: 106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.09 : 110.61 = 71.56 : x
  2. Step 2: Convert to fraction form
    74.09/110.61 = 71.56/x
  3. Step 3: Cross multiply
    74.09x = 110.61 × 71.56
  4. Step 4: Simplify right side
    74.09x = 7,915.39
  5. Step 5: Solve for x
    x = 7,915.39/74.09
  6. Step 6: Final answer
    x = 106.83

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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.