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Finding the Fourth Proportional to 123.22, 170.04 and 106.84

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Solution

The fourth proportional to 123.22, 170.04 and 106.84 is: 147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.22 : 170.04 = 106.84 : x
  2. Step 2: Convert to fraction form
    123.22/170.04 = 106.84/x
  3. Step 3: Cross multiply
    123.22x = 170.04 × 106.84
  4. Step 4: Simplify right side
    123.22x = 18,167.07
  5. Step 5: Solve for x
    x = 18,167.07/123.22
  6. Step 6: Final answer
    x = 147.44

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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.