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Finding the Fourth Proportional to 112.10, 169.16 and 108.08

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Solution

The fourth proportional to 112.10, 169.16 and 108.08 is: 163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.10 : 169.16 = 108.08 : x
  2. Step 2: Convert to fraction form
    112.10/169.16 = 108.08/x
  3. Step 3: Cross multiply
    112.10x = 169.16 × 108.08
  4. Step 4: Simplify right side
    112.10x = 18,282.81
  5. Step 5: Solve for x
    x = 18,282.81/112.10
  6. Step 6: Final answer
    x = 163.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.