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Finding the Fourth Proportional to 110.44, 151.97 and 107.10

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Solution

The fourth proportional to 110.44, 151.97 and 107.10 is: 147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.44 : 151.97 = 107.10 : x
  2. Step 2: Convert to fraction form
    110.44/151.97 = 107.10/x
  3. Step 3: Cross multiply
    110.44x = 151.97 × 107.10
  4. Step 4: Simplify right side
    110.44x = 16,275.99
  5. Step 5: Solve for x
    x = 16,275.99/110.44
  6. Step 6: Final answer
    x = 147.37

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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.