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Finding the Fourth Proportional to 83.13, 114.46 and 77.00

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Solution

The fourth proportional to 83.13, 114.46 and 77.00 is: 106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.13 : 114.46 = 77.00 : x
  2. Step 2: Convert to fraction form
    83.13/114.46 = 77.00/x
  3. Step 3: Cross multiply
    83.13x = 114.46 × 77.00
  4. Step 4: Simplify right side
    83.13x = 8,813.73
  5. Step 5: Solve for x
    x = 8,813.73/83.13
  6. Step 6: Final answer
    x = 106.03

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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.