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Finding the Fourth Proportional to 134.16, 201.06 and 107.12

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Solution

The fourth proportional to 134.16, 201.06 and 107.12 is: 160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.16 : 201.06 = 107.12 : x
  2. Step 2: Convert to fraction form
    134.16/201.06 = 107.12/x
  3. Step 3: Cross multiply
    134.16x = 201.06 × 107.12
  4. Step 4: Simplify right side
    134.16x = 21,536.54
  5. Step 5: Solve for x
    x = 21,536.54/134.16
  6. Step 6: Final answer
    x = 160.53

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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.