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Finding the Fourth Proportional to 74.34, 110.76 and 71.22

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Solution

The fourth proportional to 74.34, 110.76 and 71.22 is: 106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.34 : 110.76 = 71.22 : x
  2. Step 2: Convert to fraction form
    74.34/110.76 = 71.22/x
  3. Step 3: Cross multiply
    74.34x = 110.76 × 71.22
  4. Step 4: Simplify right side
    74.34x = 7,888.33
  5. Step 5: Solve for x
    x = 7,888.33/74.34
  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.