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Finding the Fourth Proportional to 111.15, 165.74 and 103.70

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Solution

The fourth proportional to 111.15, 165.74 and 103.70 is: 154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.15 : 165.74 = 103.70 : x
  2. Step 2: Convert to fraction form
    111.15/165.74 = 103.70/x
  3. Step 3: Cross multiply
    111.15x = 165.74 × 103.70
  4. Step 4: Simplify right side
    111.15x = 17,186.98
  5. Step 5: Solve for x
    x = 17,186.98/111.15
  6. Step 6: Final answer
    x = 154.63

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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.