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Finding the Fourth Proportional to 119.42, 179.01 and 73.66

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Solution

The fourth proportional to 119.42, 179.01 and 73.66 is: 110.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.42 : 179.01 = 73.66 : x
  2. Step 2: Convert to fraction form
    119.42/179.01 = 73.66/x
  3. Step 3: Cross multiply
    119.42x = 179.01 × 73.66
  4. Step 4: Simplify right side
    119.42x = 13,185.76
  5. Step 5: Solve for x
    x = 13,185.76/119.42
  6. Step 6: Final answer
    x = 110.41

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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.