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Finding the Fourth Proportional to 134.22, 185.38 and 106.68

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Solution

The fourth proportional to 134.22, 185.38 and 106.68 is: 147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.22 : 185.38 = 106.68 : x
  2. Step 2: Convert to fraction form
    134.22/185.38 = 106.68/x
  3. Step 3: Cross multiply
    134.22x = 185.38 × 106.68
  4. Step 4: Simplify right side
    134.22x = 19,776.34
  5. Step 5: Solve for x
    x = 19,776.34/134.22
  6. Step 6: Final answer
    x = 147.34

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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.