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Finding the Fourth Proportional to 141.52, 212.32 and 105.34

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Solution

The fourth proportional to 141.52, 212.32 and 105.34 is: 158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.52 : 212.32 = 105.34 : x
  2. Step 2: Convert to fraction form
    141.52/212.32 = 105.34/x
  3. Step 3: Cross multiply
    141.52x = 212.32 × 105.34
  4. Step 4: Simplify right side
    141.52x = 22,365.79
  5. Step 5: Solve for x
    x = 22,365.79/141.52
  6. Step 6: Final answer
    x = 158.04

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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.