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Finding the Fourth Proportional to 102.23, 141.09 and 83.76

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Solution

The fourth proportional to 102.23, 141.09 and 83.76 is: 115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.23 : 141.09 = 83.76 : x
  2. Step 2: Convert to fraction form
    102.23/141.09 = 83.76/x
  3. Step 3: Cross multiply
    102.23x = 141.09 × 83.76
  4. Step 4: Simplify right side
    102.23x = 11,816.57
  5. Step 5: Solve for x
    x = 11,816.57/102.23
  6. Step 6: Final answer
    x = 115.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.