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Finding the Fourth Proportional to 83.03, 114.41 and 77.15

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Solution

The fourth proportional to 83.03, 114.41 and 77.15 is: 106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.03 : 114.41 = 77.15 : x
  2. Step 2: Convert to fraction form
    83.03/114.41 = 77.15/x
  3. Step 3: Cross multiply
    83.03x = 114.41 × 77.15
  4. Step 4: Simplify right side
    83.03x = 8,827.21
  5. Step 5: Solve for x
    x = 8,827.21/83.03
  6. Step 6: Final answer
    x = 106.32

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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.