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Finding the Fourth Proportional to 74.75, 111.42 and 70.88

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Solution

The fourth proportional to 74.75, 111.42 and 70.88 is: 105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.75 : 111.42 = 70.88 : x
  2. Step 2: Convert to fraction form
    74.75/111.42 = 70.88/x
  3. Step 3: Cross multiply
    74.75x = 111.42 × 70.88
  4. Step 4: Simplify right side
    74.75x = 7,896.89
  5. Step 5: Solve for x
    x = 7,896.89/74.75
  6. Step 6: Final answer
    x = 105.65

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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.