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Finding the Fourth Proportional to 110.79, 165.63 and 85.14

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Solution

The fourth proportional to 110.79, 165.63 and 85.14 is: 127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.79 : 165.63 = 85.14 : x
  2. Step 2: Convert to fraction form
    110.79/165.63 = 85.14/x
  3. Step 3: Cross multiply
    110.79x = 165.63 × 85.14
  4. Step 4: Simplify right side
    110.79x = 14,101.74
  5. Step 5: Solve for x
    x = 14,101.74/110.79
  6. Step 6: Final answer
    x = 127.28

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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.