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Finding the Fourth Proportional to 118.05, 177.09 and 57.16

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Solution

The fourth proportional to 118.05, 177.09 and 57.16 is: 85.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.05 : 177.09 = 57.16 : x
  2. Step 2: Convert to fraction form
    118.05/177.09 = 57.16/x
  3. Step 3: Cross multiply
    118.05x = 177.09 × 57.16
  4. Step 4: Simplify right side
    118.05x = 10,122.46
  5. Step 5: Solve for x
    x = 10,122.46/118.05
  6. Step 6: Final answer
    x = 85.75

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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.