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Finding the Fourth Proportional to 119.83, 178.86 and 111.14

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Solution

The fourth proportional to 119.83, 178.86 and 111.14 is: 165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.83 : 178.86 = 111.14 : x
  2. Step 2: Convert to fraction form
    119.83/178.86 = 111.14/x
  3. Step 3: Cross multiply
    119.83x = 178.86 × 111.14
  4. Step 4: Simplify right side
    119.83x = 19,877.94
  5. Step 5: Solve for x
    x = 19,877.94/119.83
  6. Step 6: Final answer
    x = 165.89

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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.