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Finding the Fourth Proportional to 76.07, 105.17 and 66.96

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Solution

The fourth proportional to 76.07, 105.17 and 66.96 is: 92.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.07 : 105.17 = 66.96 : x
  2. Step 2: Convert to fraction form
    76.07/105.17 = 66.96/x
  3. Step 3: Cross multiply
    76.07x = 105.17 × 66.96
  4. Step 4: Simplify right side
    76.07x = 7,041.85
  5. Step 5: Solve for x
    x = 7,041.85/76.07
  6. Step 6: Final answer
    x = 92.57

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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.