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Finding the Fourth Proportional to 120.10, 165.81 and 91.06

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Solution

The fourth proportional to 120.10, 165.81 and 91.06 is: 125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.10 : 165.81 = 91.06 : x
  2. Step 2: Convert to fraction form
    120.10/165.81 = 91.06/x
  3. Step 3: Cross multiply
    120.10x = 165.81 × 91.06
  4. Step 4: Simplify right side
    120.10x = 15,098.66
  5. Step 5: Solve for x
    x = 15,098.66/120.10
  6. Step 6: Final answer
    x = 125.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.