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Finding the Fourth Proportional to 105.27, 158.22 and 101.22

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Solution

The fourth proportional to 105.27, 158.22 and 101.22 is: 152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.27 : 158.22 = 101.22 : x
  2. Step 2: Convert to fraction form
    105.27/158.22 = 101.22/x
  3. Step 3: Cross multiply
    105.27x = 158.22 × 101.22
  4. Step 4: Simplify right side
    105.27x = 16,015.03
  5. Step 5: Solve for x
    x = 16,015.03/105.27
  6. Step 6: Final answer
    x = 152.13

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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.