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Finding the Fourth Proportional to 102.85, 141.83 and 82.07

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Solution

The fourth proportional to 102.85, 141.83 and 82.07 is: 113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.85 : 141.83 = 82.07 : x
  2. Step 2: Convert to fraction form
    102.85/141.83 = 82.07/x
  3. Step 3: Cross multiply
    102.85x = 141.83 × 82.07
  4. Step 4: Simplify right side
    102.85x = 11,639.71
  5. Step 5: Solve for x
    x = 11,639.71/102.85
  6. Step 6: Final answer
    x = 113.17

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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.