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Finding the Fourth Proportional to 111.12, 165.75 and 103.56

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Solution

The fourth proportional to 111.12, 165.75 and 103.56 is: 154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.12 : 165.75 = 103.56 : x
  2. Step 2: Convert to fraction form
    111.12/165.75 = 103.56/x
  3. Step 3: Cross multiply
    111.12x = 165.75 × 103.56
  4. Step 4: Simplify right side
    111.12x = 17,165.07
  5. Step 5: Solve for x
    x = 17,165.07/111.12
  6. Step 6: Final answer
    x = 154.47

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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.