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Finding the Fourth Proportional to 120.24, 180.24 and 48.14

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Solution

The fourth proportional to 120.24, 180.24 and 48.14 is: 72.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.24 : 180.24 = 48.14 : x
  2. Step 2: Convert to fraction form
    120.24/180.24 = 48.14/x
  3. Step 3: Cross multiply
    120.24x = 180.24 × 48.14
  4. Step 4: Simplify right side
    120.24x = 8,676.75
  5. Step 5: Solve for x
    x = 8,676.75/120.24
  6. Step 6: Final answer
    x = 72.16

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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.