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Finding the Fourth Proportional to 83.06, 114.62 and 77.28

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Solution

The fourth proportional to 83.06, 114.62 and 77.28 is: 106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.06 : 114.62 = 77.28 : x
  2. Step 2: Convert to fraction form
    83.06/114.62 = 77.28/x
  3. Step 3: Cross multiply
    83.06x = 114.62 × 77.28
  4. Step 4: Simplify right side
    83.06x = 8,857.83
  5. Step 5: Solve for x
    x = 8,857.83/83.06
  6. Step 6: Final answer
    x = 106.64

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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.