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Finding the Fourth Proportional to 119.83, 178.61 and 112.08

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Solution

The fourth proportional to 119.83, 178.61 and 112.08 is: 167.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.83 : 178.61 = 112.08 : x
  2. Step 2: Convert to fraction form
    119.83/178.61 = 112.08/x
  3. Step 3: Cross multiply
    119.83x = 178.61 × 112.08
  4. Step 4: Simplify right side
    119.83x = 20,018.72
  5. Step 5: Solve for x
    x = 20,018.72/119.83
  6. Step 6: Final answer
    x = 167.06

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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.