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Finding the Fourth Proportional to 107.72, 160.73 and 101.18

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Solution

The fourth proportional to 107.72, 160.73 and 101.18 is: 150.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.72 : 160.73 = 101.18 : x
  2. Step 2: Convert to fraction form
    107.72/160.73 = 101.18/x
  3. Step 3: Cross multiply
    107.72x = 160.73 × 101.18
  4. Step 4: Simplify right side
    107.72x = 16,262.56
  5. Step 5: Solve for x
    x = 16,262.56/107.72
  6. Step 6: Final answer
    x = 150.98

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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.