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Finding the Fourth Proportional to 105.50, 157.95 and 82.22

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Solution

The fourth proportional to 105.50, 157.95 and 82.22 is: 123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.50 : 157.95 = 82.22 : x
  2. Step 2: Convert to fraction form
    105.50/157.95 = 82.22/x
  3. Step 3: Cross multiply
    105.50x = 157.95 × 82.22
  4. Step 4: Simplify right side
    105.50x = 12,985.86
  5. Step 5: Solve for x
    x = 12,985.86/105.50
  6. Step 6: Final answer
    x = 123.09

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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.