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Finding the Fourth Proportional to 110.72, 165.78 and 90.20

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Solution

The fourth proportional to 110.72, 165.78 and 90.20 is: 135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.72 : 165.78 = 90.20 : x
  2. Step 2: Convert to fraction form
    110.72/165.78 = 90.20/x
  3. Step 3: Cross multiply
    110.72x = 165.78 × 90.20
  4. Step 4: Simplify right side
    110.72x = 14,953.36
  5. Step 5: Solve for x
    x = 14,953.36/110.72
  6. Step 6: Final answer
    x = 135.06

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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.