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Finding the Fourth Proportional to 141.68, 212.72 and 105.23

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Solution

The fourth proportional to 141.68, 212.72 and 105.23 is: 157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.68 : 212.72 = 105.23 : x
  2. Step 2: Convert to fraction form
    141.68/212.72 = 105.23/x
  3. Step 3: Cross multiply
    141.68x = 212.72 × 105.23
  4. Step 4: Simplify right side
    141.68x = 22,382.94
  5. Step 5: Solve for x
    x = 22,382.94/141.68
  6. Step 6: Final answer
    x = 157.99

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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.