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Finding the Fourth Proportional to 119.23, 178.85 and 50.76

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Solution

The fourth proportional to 119.23, 178.85 and 50.76 is: 76.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.23 : 178.85 = 50.76 : x
  2. Step 2: Convert to fraction form
    119.23/178.85 = 50.76/x
  3. Step 3: Cross multiply
    119.23x = 178.85 × 50.76
  4. Step 4: Simplify right side
    119.23x = 9,077.76
  5. Step 5: Solve for x
    x = 9,077.76/119.23
  6. Step 6: Final answer
    x = 76.14

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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.