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Finding the Fourth Proportional to 83.90, 115.73 and 77.02

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Solution

The fourth proportional to 83.90, 115.73 and 77.02 is: 106.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.90 : 115.73 = 77.02 : x
  2. Step 2: Convert to fraction form
    83.90/115.73 = 77.02/x
  3. Step 3: Cross multiply
    83.90x = 115.73 × 77.02
  4. Step 4: Simplify right side
    83.90x = 8,913.04
  5. Step 5: Solve for x
    x = 8,913.04/83.90
  6. Step 6: Final answer
    x = 106.23

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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.