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Finding the Fourth Proportional to 111.51, 166.84 and 80.66

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Solution

The fourth proportional to 111.51, 166.84 and 80.66 is: 120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.51 : 166.84 = 80.66 : x
  2. Step 2: Convert to fraction form
    111.51/166.84 = 80.66/x
  3. Step 3: Cross multiply
    111.51x = 166.84 × 80.66
  4. Step 4: Simplify right side
    111.51x = 13,457.53
  5. Step 5: Solve for x
    x = 13,457.53/111.51
  6. Step 6: Final answer
    x = 120.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.