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Finding the Fourth Proportional to 105.45, 158.19 and 99.68

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Solution

The fourth proportional to 105.45, 158.19 and 99.68 is: 149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.45 : 158.19 = 99.68 : x
  2. Step 2: Convert to fraction form
    105.45/158.19 = 99.68/x
  3. Step 3: Cross multiply
    105.45x = 158.19 × 99.68
  4. Step 4: Simplify right side
    105.45x = 15,768.40
  5. Step 5: Solve for x
    x = 15,768.40/105.45
  6. Step 6: Final answer
    x = 149.53

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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.