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Finding the Fourth Proportional to 77.25, 106.38 and 69.47

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Solution

The fourth proportional to 77.25, 106.38 and 69.47 is: 95.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.25 : 106.38 = 69.47 : x
  2. Step 2: Convert to fraction form
    77.25/106.38 = 69.47/x
  3. Step 3: Cross multiply
    77.25x = 106.38 × 69.47
  4. Step 4: Simplify right side
    77.25x = 7,389.69
  5. Step 5: Solve for x
    x = 7,389.69/77.25
  6. Step 6: Final answer
    x = 95.66

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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.