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Finding the Fourth Proportional to 74.33, 110.74 and 71.23

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Solution

The fourth proportional to 74.33, 110.74 and 71.23 is: 106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.33 : 110.74 = 71.23 : x
  2. Step 2: Convert to fraction form
    74.33/110.74 = 71.23/x
  3. Step 3: Cross multiply
    74.33x = 110.74 × 71.23
  4. Step 4: Simplify right side
    74.33x = 7,887.46
  5. Step 5: Solve for x
    x = 7,887.46/74.33
  6. Step 6: Final answer
    x = 106.11

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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.