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Finding the Fourth Proportional to 110.18, 165.12 and 61.40

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Solution

The fourth proportional to 110.18, 165.12 and 61.40 is: 92.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.18 : 165.12 = 61.40 : x
  2. Step 2: Convert to fraction form
    110.18/165.12 = 61.40/x
  3. Step 3: Cross multiply
    110.18x = 165.12 × 61.40
  4. Step 4: Simplify right side
    110.18x = 10,138.37
  5. Step 5: Solve for x
    x = 10,138.37/110.18
  6. Step 6: Final answer
    x = 92.02

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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.