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Finding the Fourth Proportional to 79.82, 109.76 and 71.10

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Solution

The fourth proportional to 79.82, 109.76 and 71.10 is: 97.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.82 : 109.76 = 71.10 : x
  2. Step 2: Convert to fraction form
    79.82/109.76 = 71.10/x
  3. Step 3: Cross multiply
    79.82x = 109.76 × 71.10
  4. Step 4: Simplify right side
    79.82x = 7,803.94
  5. Step 5: Solve for x
    x = 7,803.94/79.82
  6. Step 6: Final answer
    x = 97.77

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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.