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Finding the Fourth Proportional to 74.26, 110.75 and 70.12

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Solution

The fourth proportional to 74.26, 110.75 and 70.12 is: 104.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.26 : 110.75 = 70.12 : x
  2. Step 2: Convert to fraction form
    74.26/110.75 = 70.12/x
  3. Step 3: Cross multiply
    74.26x = 110.75 × 70.12
  4. Step 4: Simplify right side
    74.26x = 7,765.79
  5. Step 5: Solve for x
    x = 7,765.79/74.26
  6. Step 6: Final answer
    x = 104.58

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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.