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Finding the Fourth Proportional to 111.58, 166.56 and 103

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Solution

The fourth proportional to 111.58, 166.56 and 103 is: 153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.58 : 166.56 = 103 : x
  2. Step 2: Convert to fraction form
    111.58/166.56 = 103/x
  3. Step 3: Cross multiply
    111.58x = 166.56 × 103
  4. Step 4: Simplify right side
    111.58x = 17,155.68
  5. Step 5: Solve for x
    x = 17,155.68/111.58
  6. Step 6: Final answer
    x = 153.75

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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.