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Finding the Fourth Proportional to 110.08, 151.22 and 97.93

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Solution

The fourth proportional to 110.08, 151.22 and 97.93 is: 134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.08 : 151.22 = 97.93 : x
  2. Step 2: Convert to fraction form
    110.08/151.22 = 97.93/x
  3. Step 3: Cross multiply
    110.08x = 151.22 × 97.93
  4. Step 4: Simplify right side
    110.08x = 14,808.97
  5. Step 5: Solve for x
    x = 14,808.97/110.08
  6. Step 6: Final answer
    x = 134.53

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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.