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Finding the Fourth Proportional to 82.86, 114.18 and 78.54

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Solution

The fourth proportional to 82.86, 114.18 and 78.54 is: 108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.86 : 114.18 = 78.54 : x
  2. Step 2: Convert to fraction form
    82.86/114.18 = 78.54/x
  3. Step 3: Cross multiply
    82.86x = 114.18 × 78.54
  4. Step 4: Simplify right side
    82.86x = 8,967.70
  5. Step 5: Solve for x
    x = 8,967.70/82.86
  6. Step 6: Final answer
    x = 108.23

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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.