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Finding the Fourth Proportional to 107.13, 160.44 and 101.75

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Solution

The fourth proportional to 107.13, 160.44 and 101.75 is: 152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.13 : 160.44 = 101.75 : x
  2. Step 2: Convert to fraction form
    107.13/160.44 = 101.75/x
  3. Step 3: Cross multiply
    107.13x = 160.44 × 101.75
  4. Step 4: Simplify right side
    107.13x = 16,323.94
  5. Step 5: Solve for x
    x = 16,323.94/107.13
  6. Step 6: Final answer
    x = 152.38

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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.