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Finding the Fourth Proportional to 102.30, 141.12 and 82.86

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Solution

The fourth proportional to 102.30, 141.12 and 82.86 is: 114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.30 : 141.12 = 82.86 : x
  2. Step 2: Convert to fraction form
    102.30/141.12 = 82.86/x
  3. Step 3: Cross multiply
    102.30x = 141.12 × 82.86
  4. Step 4: Simplify right side
    102.30x = 11,693.20
  5. Step 5: Solve for x
    x = 11,693.20/102.30
  6. Step 6: Final answer
    x = 114.30

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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.