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Finding the Fourth Proportional to 106.90, 159.90 and 82.26

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Solution

The fourth proportional to 106.90, 159.90 and 82.26 is: 123.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.90 : 159.90 = 82.26 : x
  2. Step 2: Convert to fraction form
    106.90/159.90 = 82.26/x
  3. Step 3: Cross multiply
    106.90x = 159.90 × 82.26
  4. Step 4: Simplify right side
    106.90x = 13,153.37
  5. Step 5: Solve for x
    x = 13,153.37/106.90
  6. Step 6: Final answer
    x = 123.04

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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.