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Finding the Fourth Proportional to 118.64, 177.69 and 111.89

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Solution

The fourth proportional to 118.64, 177.69 and 111.89 is: 167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.64 : 177.69 = 111.89 : x
  2. Step 2: Convert to fraction form
    118.64/177.69 = 111.89/x
  3. Step 3: Cross multiply
    118.64x = 177.69 × 111.89
  4. Step 4: Simplify right side
    118.64x = 19,881.73
  5. Step 5: Solve for x
    x = 19,881.73/118.64
  6. Step 6: Final answer
    x = 167.58

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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.