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Finding the Fourth Proportional to 120.04, 165.79 and 95.67

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Solution

The fourth proportional to 120.04, 165.79 and 95.67 is: 132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.04 : 165.79 = 95.67 : x
  2. Step 2: Convert to fraction form
    120.04/165.79 = 95.67/x
  3. Step 3: Cross multiply
    120.04x = 165.79 × 95.67
  4. Step 4: Simplify right side
    120.04x = 15,861.13
  5. Step 5: Solve for x
    x = 15,861.13/120.04
  6. Step 6: Final answer
    x = 132.13

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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.