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Finding the Fourth Proportional to 120.42, 181.42 and 101.59

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Solution

The fourth proportional to 120.42, 181.42 and 101.59 is: 153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.42 : 181.42 = 101.59 : x
  2. Step 2: Convert to fraction form
    120.42/181.42 = 101.59/x
  3. Step 3: Cross multiply
    120.42x = 181.42 × 101.59
  4. Step 4: Simplify right side
    120.42x = 18,429.75
  5. Step 5: Solve for x
    x = 18,429.75/120.42
  6. Step 6: Final answer
    x = 153.05

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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.