Home / 120.23-180.24-43.15

Finding the Fourth Proportional to 120.23, 180.24 and 43.15

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Solution

The fourth proportional to 120.23, 180.24 and 43.15 is: 64.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.23 : 180.24 = 43.15 : x
  2. Step 2: Convert to fraction form
    120.23/180.24 = 43.15/x
  3. Step 3: Cross multiply
    120.23x = 180.24 × 43.15
  4. Step 4: Simplify right side
    120.23x = 7,777.63
  5. Step 5: Solve for x
    x = 7,777.63/120.23
  6. Step 6: Final answer
    x = 64.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.