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Finding the Fourth Proportional to 119.51, 178.13 and 112.66

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Solution

The fourth proportional to 119.51, 178.13 and 112.66 is: 167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.51 : 178.13 = 112.66 : x
  2. Step 2: Convert to fraction form
    119.51/178.13 = 112.66/x
  3. Step 3: Cross multiply
    119.51x = 178.13 × 112.66
  4. Step 4: Simplify right side
    119.51x = 20,067.96
  5. Step 5: Solve for x
    x = 20,067.96/119.51
  6. Step 6: Final answer
    x = 167.92

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