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Finding the Fourth Proportional to 105.12, 157.77 and 82.17

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Solution

The fourth proportional to 105.12, 157.77 and 82.17 is: 123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.12 : 157.77 = 82.17 : x
  2. Step 2: Convert to fraction form
    105.12/157.77 = 82.17/x
  3. Step 3: Cross multiply
    105.12x = 157.77 × 82.17
  4. Step 4: Simplify right side
    105.12x = 12,963.96
  5. Step 5: Solve for x
    x = 12,963.96/105.12
  6. Step 6: Final answer
    x = 123.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.