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Finding the Fourth Proportional to 120.10, 165.81 and 86.95

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Solution

The fourth proportional to 120.10, 165.81 and 86.95 is: 120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.10 : 165.81 = 86.95 : x
  2. Step 2: Convert to fraction form
    120.10/165.81 = 86.95/x
  3. Step 3: Cross multiply
    120.10x = 165.81 × 86.95
  4. Step 4: Simplify right side
    120.10x = 14,416.88
  5. Step 5: Solve for x
    x = 14,416.88/120.10
  6. Step 6: Final answer
    x = 120.05

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