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Finding the Fourth Proportional to 74.29, 110.81 and 71.05

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Solution

The fourth proportional to 74.29, 110.81 and 71.05 is: 105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.29 : 110.81 = 71.05 : x
  2. Step 2: Convert to fraction form
    74.29/110.81 = 71.05/x
  3. Step 3: Cross multiply
    74.29x = 110.81 × 71.05
  4. Step 4: Simplify right side
    74.29x = 7,873.23
  5. Step 5: Solve for x
    x = 7,873.23/74.29
  6. Step 6: Final answer
    x = 105.98

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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.