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Finding the Fourth Proportional to 79.12, 109.37 and 75.89

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Solution

The fourth proportional to 79.12, 109.37 and 75.89 is: 104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.12 : 109.37 = 75.89 : x
  2. Step 2: Convert to fraction form
    79.12/109.37 = 75.89/x
  3. Step 3: Cross multiply
    79.12x = 109.37 × 75.89
  4. Step 4: Simplify right side
    79.12x = 8,300.09
  5. Step 5: Solve for x
    x = 8,300.09/79.12
  6. Step 6: Final answer
    x = 104.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.