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Finding the Fourth Proportional to 110.42, 166.21 and 84.90

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Solution

The fourth proportional to 110.42, 166.21 and 84.90 is: 127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.42 : 166.21 = 84.90 : x
  2. Step 2: Convert to fraction form
    110.42/166.21 = 84.90/x
  3. Step 3: Cross multiply
    110.42x = 166.21 × 84.90
  4. Step 4: Simplify right side
    110.42x = 14,111.23
  5. Step 5: Solve for x
    x = 14,111.23/110.42
  6. Step 6: Final answer
    x = 127.80

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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.