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Finding the Fourth Proportional to 110.05, 151.77 and 77.23

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Solution

The fourth proportional to 110.05, 151.77 and 77.23 is: 106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.05 : 151.77 = 77.23 : x
  2. Step 2: Convert to fraction form
    110.05/151.77 = 77.23/x
  3. Step 3: Cross multiply
    110.05x = 151.77 × 77.23
  4. Step 4: Simplify right side
    110.05x = 11,721.20
  5. Step 5: Solve for x
    x = 11,721.20/110.05
  6. Step 6: Final answer
    x = 106.51

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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.