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Finding the Fourth Proportional to 107.70, 160.46 and 103.86

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Solution

The fourth proportional to 107.70, 160.46 and 103.86 is: 154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.70 : 160.46 = 103.86 : x
  2. Step 2: Convert to fraction form
    107.70/160.46 = 103.86/x
  3. Step 3: Cross multiply
    107.70x = 160.46 × 103.86
  4. Step 4: Simplify right side
    107.70x = 16,665.38
  5. Step 5: Solve for x
    x = 16,665.38/107.70
  6. Step 6: Final answer
    x = 154.74

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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.