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Finding the Fourth Proportional to 120.13, 181.12 and 96.37

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Solution

The fourth proportional to 120.13, 181.12 and 96.37 is: 145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.13 : 181.12 = 96.37 : x
  2. Step 2: Convert to fraction form
    120.13/181.12 = 96.37/x
  3. Step 3: Cross multiply
    120.13x = 181.12 × 96.37
  4. Step 4: Simplify right side
    120.13x = 17,454.53
  5. Step 5: Solve for x
    x = 17,454.53/120.13
  6. Step 6: Final answer
    x = 145.30

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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.