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Finding the Fourth Proportional to 119.24, 177.93 and 112.36

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Solution

The fourth proportional to 119.24, 177.93 and 112.36 is: 167.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.24 : 177.93 = 112.36 : x
  2. Step 2: Convert to fraction form
    119.24/177.93 = 112.36/x
  3. Step 3: Cross multiply
    119.24x = 177.93 × 112.36
  4. Step 4: Simplify right side
    119.24x = 19,992.21
  5. Step 5: Solve for x
    x = 19,992.21/119.24
  6. Step 6: Final answer
    x = 167.66

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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.