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Finding the Fourth Proportional to 134.12, 200.38 and 106.52

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Solution

The fourth proportional to 134.12, 200.38 and 106.52 is: 159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.12 : 200.38 = 106.52 : x
  2. Step 2: Convert to fraction form
    134.12/200.38 = 106.52/x
  3. Step 3: Cross multiply
    134.12x = 200.38 × 106.52
  4. Step 4: Simplify right side
    134.12x = 21,344.48
  5. Step 5: Solve for x
    x = 21,344.48/134.12
  6. Step 6: Final answer
    x = 159.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.