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Finding the Fourth Proportional to 110.90, 165.20 and 101.54

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Solution

The fourth proportional to 110.90, 165.20 and 101.54 is: 151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.90 : 165.20 = 101.54 : x
  2. Step 2: Convert to fraction form
    110.90/165.20 = 101.54/x
  3. Step 3: Cross multiply
    110.90x = 165.20 × 101.54
  4. Step 4: Simplify right side
    110.90x = 16,774.41
  5. Step 5: Solve for x
    x = 16,774.41/110.90
  6. Step 6: Final answer
    x = 151.26

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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.