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Finding the Fourth Proportional to 118.68, 177.72 and 112

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Solution

The fourth proportional to 118.68, 177.72 and 112 is: 167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.68 : 177.72 = 112 : x
  2. Step 2: Convert to fraction form
    118.68/177.72 = 112/x
  3. Step 3: Cross multiply
    118.68x = 177.72 × 112
  4. Step 4: Simplify right side
    118.68x = 19,904.64
  5. Step 5: Solve for x
    x = 19,904.64/118.68
  6. Step 6: Final answer
    x = 167.72

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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.