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Finding the Fourth Proportional to 111.14, 165.92 and 107.34

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Solution

The fourth proportional to 111.14, 165.92 and 107.34 is: 160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.14 : 165.92 = 107.34 : x
  2. Step 2: Convert to fraction form
    111.14/165.92 = 107.34/x
  3. Step 3: Cross multiply
    111.14x = 165.92 × 107.34
  4. Step 4: Simplify right side
    111.14x = 17,809.63
  5. Step 5: Solve for x
    x = 17,809.63/111.14
  6. Step 6: Final answer
    x = 160.25

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Why These Related Problems?

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