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Finding the Fourth Proportional to 110.07, 151.83 and 77.31

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Solution

The fourth proportional to 110.07, 151.83 and 77.31 is: 106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.07 : 151.83 = 77.31 : x
  2. Step 2: Convert to fraction form
    110.07/151.83 = 77.31/x
  3. Step 3: Cross multiply
    110.07x = 151.83 × 77.31
  4. Step 4: Simplify right side
    110.07x = 11,737.98
  5. Step 5: Solve for x
    x = 11,737.98/110.07
  6. Step 6: Final answer
    x = 106.64

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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.