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Finding the Fourth Proportional to 107.38, 160.74 and 97.06

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Solution

The fourth proportional to 107.38, 160.74 and 97.06 is: 145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.38 : 160.74 = 97.06 : x
  2. Step 2: Convert to fraction form
    107.38/160.74 = 97.06/x
  3. Step 3: Cross multiply
    107.38x = 160.74 × 97.06
  4. Step 4: Simplify right side
    107.38x = 15,601.42
  5. Step 5: Solve for x
    x = 15,601.42/107.38
  6. Step 6: Final answer
    x = 145.29

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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.