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Finding the Fourth Proportional to 106.34, 159.33 and 82.22

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Solution

The fourth proportional to 106.34, 159.33 and 82.22 is: 123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.34 : 159.33 = 82.22 : x
  2. Step 2: Convert to fraction form
    106.34/159.33 = 82.22/x
  3. Step 3: Cross multiply
    106.34x = 159.33 × 82.22
  4. Step 4: Simplify right side
    106.34x = 13,100.11
  5. Step 5: Solve for x
    x = 13,100.11/106.34
  6. Step 6: Final answer
    x = 123.19

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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.