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Finding the Fourth Proportional to 79.69, 120.08 and 66.46

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Solution

The fourth proportional to 79.69, 120.08 and 66.46 is: 100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.69 : 120.08 = 66.46 : x
  2. Step 2: Convert to fraction form
    79.69/120.08 = 66.46/x
  3. Step 3: Cross multiply
    79.69x = 120.08 × 66.46
  4. Step 4: Simplify right side
    79.69x = 7,980.52
  5. Step 5: Solve for x
    x = 7,980.52/79.69
  6. Step 6: Final answer
    x = 100.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.