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Finding the Fourth Proportional to 110.36, 151.98 and 110

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Solution

The fourth proportional to 110.36, 151.98 and 110 is: 151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.36 : 151.98 = 110 : x
  2. Step 2: Convert to fraction form
    110.36/151.98 = 110/x
  3. Step 3: Cross multiply
    110.36x = 151.98 × 110
  4. Step 4: Simplify right side
    110.36x = 16,717.80
  5. Step 5: Solve for x
    x = 16,717.80/110.36
  6. Step 6: Final answer
    x = 151.48

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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.