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Finding the Fourth Proportional to 112.83, 169.48 and 109.18

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Solution

The fourth proportional to 112.83, 169.48 and 109.18 is: 164.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.83 : 169.48 = 109.18 : x
  2. Step 2: Convert to fraction form
    112.83/169.48 = 109.18/x
  3. Step 3: Cross multiply
    112.83x = 169.48 × 109.18
  4. Step 4: Simplify right side
    112.83x = 18,503.83
  5. Step 5: Solve for x
    x = 18,503.83/112.83
  6. Step 6: Final answer
    x = 164.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.