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Finding the Fourth Proportional to 121.36, 180.99 and 106.03

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Solution

The fourth proportional to 121.36, 180.99 and 106.03 is: 158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.36 : 180.99 = 106.03 : x
  2. Step 2: Convert to fraction form
    121.36/180.99 = 106.03/x
  3. Step 3: Cross multiply
    121.36x = 180.99 × 106.03
  4. Step 4: Simplify right side
    121.36x = 19,188.93
  5. Step 5: Solve for x
    x = 19,188.93/121.36
  6. Step 6: Final answer
    x = 158.12

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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.