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Finding the Fourth Proportional to 118.80, 179.34 and 117.60

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Solution

The fourth proportional to 118.80, 179.34 and 117.60 is: 177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.80 : 179.34 = 117.60 : x
  2. Step 2: Convert to fraction form
    118.80/179.34 = 117.60/x
  3. Step 3: Cross multiply
    118.80x = 179.34 × 117.60
  4. Step 4: Simplify right side
    118.80x = 21,090.38
  5. Step 5: Solve for x
    x = 21,090.38/118.80
  6. Step 6: Final answer
    x = 177.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.