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Finding the Fourth Proportional to 141.70, 212.66 and 111.46

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Solution

The fourth proportional to 141.70, 212.66 and 111.46 is: 167.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.70 : 212.66 = 111.46 : x
  2. Step 2: Convert to fraction form
    141.70/212.66 = 111.46/x
  3. Step 3: Cross multiply
    141.70x = 212.66 × 111.46
  4. Step 4: Simplify right side
    141.70x = 23,703.08
  5. Step 5: Solve for x
    x = 23,703.08/141.70
  6. Step 6: Final answer
    x = 167.28

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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.