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Finding the Fourth Proportional to 118.81, 178.03 and 88.30

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Solution

The fourth proportional to 118.81, 178.03 and 88.30 is: 132.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.81 : 178.03 = 88.30 : x
  2. Step 2: Convert to fraction form
    118.81/178.03 = 88.30/x
  3. Step 3: Cross multiply
    118.81x = 178.03 × 88.30
  4. Step 4: Simplify right side
    118.81x = 15,720.05
  5. Step 5: Solve for x
    x = 15,720.05/118.81
  6. Step 6: Final answer
    x = 132.31

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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.