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Finding the Fourth Proportional to 141.24, 211.74 and 109.16

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Solution

The fourth proportional to 141.24, 211.74 and 109.16 is: 163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.24 : 211.74 = 109.16 : x
  2. Step 2: Convert to fraction form
    141.24/211.74 = 109.16/x
  3. Step 3: Cross multiply
    141.24x = 211.74 × 109.16
  4. Step 4: Simplify right side
    141.24x = 23,113.54
  5. Step 5: Solve for x
    x = 23,113.54/141.24
  6. Step 6: Final answer
    x = 163.65

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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.