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Finding the Fourth Proportional to 119.16, 177.72 and 112.80

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Solution

The fourth proportional to 119.16, 177.72 and 112.80 is: 168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.16 : 177.72 = 112.80 : x
  2. Step 2: Convert to fraction form
    119.16/177.72 = 112.80/x
  3. Step 3: Cross multiply
    119.16x = 177.72 × 112.80
  4. Step 4: Simplify right side
    119.16x = 20,046.82
  5. Step 5: Solve for x
    x = 20,046.82/119.16
  6. Step 6: Final answer
    x = 168.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.