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Finding the Fourth Proportional to 119.63, 179.13 and 90.77

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Solution

The fourth proportional to 119.63, 179.13 and 90.77 is: 135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.63 : 179.13 = 90.77 : x
  2. Step 2: Convert to fraction form
    119.63/179.13 = 90.77/x
  3. Step 3: Cross multiply
    119.63x = 179.13 × 90.77
  4. Step 4: Simplify right side
    119.63x = 16,258.73
  5. Step 5: Solve for x
    x = 16,258.73/119.63
  6. Step 6: Final answer
    x = 135.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.