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Finding the Fourth Proportional to 119.31, 178.89 and 58.54

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Solution

The fourth proportional to 119.31, 178.89 and 58.54 is: 87.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.31 : 178.89 = 58.54 : x
  2. Step 2: Convert to fraction form
    119.31/178.89 = 58.54/x
  3. Step 3: Cross multiply
    119.31x = 178.89 × 58.54
  4. Step 4: Simplify right side
    119.31x = 10,472.22
  5. Step 5: Solve for x
    x = 10,472.22/119.31
  6. Step 6: Final answer
    x = 87.77

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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.