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Finding the Fourth Proportional to 118.02, 177.02 and 57.11

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Solution

The fourth proportional to 118.02, 177.02 and 57.11 is: 85.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.02 : 177.02 = 57.11 : x
  2. Step 2: Convert to fraction form
    118.02/177.02 = 57.11/x
  3. Step 3: Cross multiply
    118.02x = 177.02 × 57.11
  4. Step 4: Simplify right side
    118.02x = 10,109.61
  5. Step 5: Solve for x
    x = 10,109.61/118.02
  6. Step 6: Final answer
    x = 85.66

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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.