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Finding the Fourth Proportional to 82.86, 114.30 and 77.00

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Solution

The fourth proportional to 82.86, 114.30 and 77.00 is: 106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.86 : 114.30 = 77.00 : x
  2. Step 2: Convert to fraction form
    82.86/114.30 = 77.00/x
  3. Step 3: Cross multiply
    82.86x = 114.30 × 77.00
  4. Step 4: Simplify right side
    82.86x = 8,800.92
  5. Step 5: Solve for x
    x = 8,800.92/82.86
  6. Step 6: Final answer
    x = 106.21

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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.