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Finding the Fourth Proportional to 120.99, 180.51 and 110.64

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Solution

The fourth proportional to 120.99, 180.51 and 110.64 is: 165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.99 : 180.51 = 110.64 : x
  2. Step 2: Convert to fraction form
    120.99/180.51 = 110.64/x
  3. Step 3: Cross multiply
    120.99x = 180.51 × 110.64
  4. Step 4: Simplify right side
    120.99x = 19,971.63
  5. Step 5: Solve for x
    x = 19,971.63/120.99
  6. Step 6: Final answer
    x = 165.07

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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.