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Finding the Fourth Proportional to 76.24, 105.20 and 50.40

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Solution

The fourth proportional to 76.24, 105.20 and 50.40 is: 69.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.24 : 105.20 = 50.40 : x
  2. Step 2: Convert to fraction form
    76.24/105.20 = 50.40/x
  3. Step 3: Cross multiply
    76.24x = 105.20 × 50.40
  4. Step 4: Simplify right side
    76.24x = 5,302.08
  5. Step 5: Solve for x
    x = 5,302.08/76.24
  6. Step 6: Final answer
    x = 69.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.