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Finding the Fourth Proportional to 119.42, 178.38 and 105.98

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Solution

The fourth proportional to 119.42, 178.38 and 105.98 is: 158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.42 : 178.38 = 105.98 : x
  2. Step 2: Convert to fraction form
    119.42/178.38 = 105.98/x
  3. Step 3: Cross multiply
    119.42x = 178.38 × 105.98
  4. Step 4: Simplify right side
    119.42x = 18,904.71
  5. Step 5: Solve for x
    x = 18,904.71/119.42
  6. Step 6: Final answer
    x = 158.30

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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.