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Finding the Fourth Proportional to 116.12, 175.20 and 112.08

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Solution

The fourth proportional to 116.12, 175.20 and 112.08 is: 169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.12 : 175.20 = 112.08 : x
  2. Step 2: Convert to fraction form
    116.12/175.20 = 112.08/x
  3. Step 3: Cross multiply
    116.12x = 175.20 × 112.08
  4. Step 4: Simplify right side
    116.12x = 19,636.42
  5. Step 5: Solve for x
    x = 19,636.42/116.12
  6. Step 6: Final answer
    x = 169.10

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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.