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Finding the Fourth Proportional to 120.33, 180.45 and 38.06

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Solution

The fourth proportional to 120.33, 180.45 and 38.06 is: 57.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.33 : 180.45 = 38.06 : x
  2. Step 2: Convert to fraction form
    120.33/180.45 = 38.06/x
  3. Step 3: Cross multiply
    120.33x = 180.45 × 38.06
  4. Step 4: Simplify right side
    120.33x = 6,867.93
  5. Step 5: Solve for x
    x = 6,867.93/120.33
  6. Step 6: Final answer
    x = 57.08

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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.