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Finding the Fourth Proportional to 74.96, 111.69 and 71.04

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Solution

The fourth proportional to 74.96, 111.69 and 71.04 is: 105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.96 : 111.69 = 71.04 : x
  2. Step 2: Convert to fraction form
    74.96/111.69 = 71.04/x
  3. Step 3: Cross multiply
    74.96x = 111.69 × 71.04
  4. Step 4: Simplify right side
    74.96x = 7,934.51
  5. Step 5: Solve for x
    x = 7,934.51/74.96
  6. Step 6: Final answer
    x = 105.85

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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.