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Finding the Fourth Proportional to 102.28, 141.06 and 83.86

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Solution

The fourth proportional to 102.28, 141.06 and 83.86 is: 115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.28 : 141.06 = 83.86 : x
  2. Step 2: Convert to fraction form
    102.28/141.06 = 83.86/x
  3. Step 3: Cross multiply
    102.28x = 141.06 × 83.86
  4. Step 4: Simplify right side
    102.28x = 11,829.29
  5. Step 5: Solve for x
    x = 11,829.29/102.28
  6. Step 6: Final answer
    x = 115.66

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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.