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Finding the Fourth Proportional to 110.01, 163.68 and 107.22

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Solution

The fourth proportional to 110.01, 163.68 and 107.22 is: 159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.01 : 163.68 = 107.22 : x
  2. Step 2: Convert to fraction form
    110.01/163.68 = 107.22/x
  3. Step 3: Cross multiply
    110.01x = 163.68 × 107.22
  4. Step 4: Simplify right side
    110.01x = 17,549.77
  5. Step 5: Solve for x
    x = 17,549.77/110.01
  6. Step 6: Final answer
    x = 159.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.