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Finding the Fourth Proportional to 141.96, 212.78 and 55.22

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Solution

The fourth proportional to 141.96, 212.78 and 55.22 is: 82.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.96 : 212.78 = 55.22 : x
  2. Step 2: Convert to fraction form
    141.96/212.78 = 55.22/x
  3. Step 3: Cross multiply
    141.96x = 212.78 × 55.22
  4. Step 4: Simplify right side
    141.96x = 11,749.71
  5. Step 5: Solve for x
    x = 11,749.71/141.96
  6. Step 6: Final answer
    x = 82.77

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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.