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Finding the Fourth Proportional to 121.02, 182.25 and 105.99

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Solution

The fourth proportional to 121.02, 182.25 and 105.99 is: 159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.02 : 182.25 = 105.99 : x
  2. Step 2: Convert to fraction form
    121.02/182.25 = 105.99/x
  3. Step 3: Cross multiply
    121.02x = 182.25 × 105.99
  4. Step 4: Simplify right side
    121.02x = 19,316.68
  5. Step 5: Solve for x
    x = 19,316.68/121.02
  6. Step 6: Final answer
    x = 159.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.