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Finding the Fourth Proportional to 118.73, 178.06 and 57.03

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Solution

The fourth proportional to 118.73, 178.06 and 57.03 is: 85.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.73 : 178.06 = 57.03 : x
  2. Step 2: Convert to fraction form
    118.73/178.06 = 57.03/x
  3. Step 3: Cross multiply
    118.73x = 178.06 × 57.03
  4. Step 4: Simplify right side
    118.73x = 10,154.76
  5. Step 5: Solve for x
    x = 10,154.76/118.73
  6. Step 6: Final answer
    x = 85.53

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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.