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Finding the Fourth Proportional to 118.09, 177.03 and 57.14

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Solution

The fourth proportional to 118.09, 177.03 and 57.14 is: 85.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.09 : 177.03 = 57.14 : x
  2. Step 2: Convert to fraction form
    118.09/177.03 = 57.14/x
  3. Step 3: Cross multiply
    118.09x = 177.03 × 57.14
  4. Step 4: Simplify right side
    118.09x = 10,114.61
  5. Step 5: Solve for x
    x = 10,114.61/118.09
  6. Step 6: Final answer
    x = 85.65

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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.