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Finding the Fourth Proportional to 119.30, 177.66 and 112.32

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Solution

The fourth proportional to 119.30, 177.66 and 112.32 is: 167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.30 : 177.66 = 112.32 : x
  2. Step 2: Convert to fraction form
    119.30/177.66 = 112.32/x
  3. Step 3: Cross multiply
    119.30x = 177.66 × 112.32
  4. Step 4: Simplify right side
    119.30x = 19,954.77
  5. Step 5: Solve for x
    x = 19,954.77/119.30
  6. Step 6: Final answer
    x = 167.27

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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.