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Finding the Fourth Proportional to 141.57, 212.25 and 68.42

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Solution

The fourth proportional to 141.57, 212.25 and 68.42 is: 102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.57 : 212.25 = 68.42 : x
  2. Step 2: Convert to fraction form
    141.57/212.25 = 68.42/x
  3. Step 3: Cross multiply
    141.57x = 212.25 × 68.42
  4. Step 4: Simplify right side
    141.57x = 14,521.08
  5. Step 5: Solve for x
    x = 14,521.08/141.57
  6. Step 6: Final answer
    x = 102.57

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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.