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Finding the Fourth Proportional to 141.32, 212.08 and 105.26

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Solution

The fourth proportional to 141.32, 212.08 and 105.26 is: 157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.32 : 212.08 = 105.26 : x
  2. Step 2: Convert to fraction form
    141.32/212.08 = 105.26/x
  3. Step 3: Cross multiply
    141.32x = 212.08 × 105.26
  4. Step 4: Simplify right side
    141.32x = 22,323.54
  5. Step 5: Solve for x
    x = 22,323.54/141.32
  6. Step 6: Final answer
    x = 157.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.