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Finding the Fourth Proportional to 109.95, 165.57 and 91.83

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Solution

The fourth proportional to 109.95, 165.57 and 91.83 is: 138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.95 : 165.57 = 91.83 : x
  2. Step 2: Convert to fraction form
    109.95/165.57 = 91.83/x
  3. Step 3: Cross multiply
    109.95x = 165.57 × 91.83
  4. Step 4: Simplify right side
    109.95x = 15,204.29
  5. Step 5: Solve for x
    x = 15,204.29/109.95
  6. Step 6: Final answer
    x = 138.28

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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.