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Finding the Fourth Proportional to 107.94, 161.12 and 97.01

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Solution

The fourth proportional to 107.94, 161.12 and 97.01 is: 144.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.94 : 161.12 = 97.01 : x
  2. Step 2: Convert to fraction form
    107.94/161.12 = 97.01/x
  3. Step 3: Cross multiply
    107.94x = 161.12 × 97.01
  4. Step 4: Simplify right side
    107.94x = 15,628.96
  5. Step 5: Solve for x
    x = 15,628.96/107.94
  6. Step 6: Final answer
    x = 144.79

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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.