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Finding the Fourth Proportional to 110.39, 151.52 and 97.83

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Solution

The fourth proportional to 110.39, 151.52 and 97.83 is: 134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.39 : 151.52 = 97.83 : x
  2. Step 2: Convert to fraction form
    110.39/151.52 = 97.83/x
  3. Step 3: Cross multiply
    110.39x = 151.52 × 97.83
  4. Step 4: Simplify right side
    110.39x = 14,822.71
  5. Step 5: Solve for x
    x = 14,822.71/110.39
  6. Step 6: Final answer
    x = 134.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.