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Finding the Fourth Proportional to 141.51, 212.74 and 111.44

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Solution

The fourth proportional to 141.51, 212.74 and 111.44 is: 167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.51 : 212.74 = 111.44 : x
  2. Step 2: Convert to fraction form
    141.51/212.74 = 111.44/x
  3. Step 3: Cross multiply
    141.51x = 212.74 × 111.44
  4. Step 4: Simplify right side
    141.51x = 23,707.43
  5. Step 5: Solve for x
    x = 23,707.43/141.51
  6. Step 6: Final answer
    x = 167.53

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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.