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Finding the Fourth Proportional to 102.57, 141.30 and 81.83

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Solution

The fourth proportional to 102.57, 141.30 and 81.83 is: 112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.57 : 141.30 = 81.83 : x
  2. Step 2: Convert to fraction form
    102.57/141.30 = 81.83/x
  3. Step 3: Cross multiply
    102.57x = 141.30 × 81.83
  4. Step 4: Simplify right side
    102.57x = 11,561.87
  5. Step 5: Solve for x
    x = 11,561.87/102.57
  6. Step 6: Final answer
    x = 112.72

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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.