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Finding the Fourth Proportional to 121.09, 166.93 and 103.52

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Solution

The fourth proportional to 121.09, 166.93 and 103.52 is: 142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.09 : 166.93 = 103.52 : x
  2. Step 2: Convert to fraction form
    121.09/166.93 = 103.52/x
  3. Step 3: Cross multiply
    121.09x = 166.93 × 103.52
  4. Step 4: Simplify right side
    121.09x = 17,281.01
  5. Step 5: Solve for x
    x = 17,281.01/121.09
  6. Step 6: Final answer
    x = 142.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.