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Finding the Fourth Proportional to 141.94, 212.96 and 55.34

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Solution

The fourth proportional to 141.94, 212.96 and 55.34 is: 83.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.94 : 212.96 = 55.34 : x
  2. Step 2: Convert to fraction form
    141.94/212.96 = 55.34/x
  3. Step 3: Cross multiply
    141.94x = 212.96 × 55.34
  4. Step 4: Simplify right side
    141.94x = 11,785.21
  5. Step 5: Solve for x
    x = 11,785.21/141.94
  6. Step 6: Final answer
    x = 83.03

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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.