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Finding the Fourth Proportional to 50.48, 76.20 and 48

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Solution

The fourth proportional to 50.48, 76.20 and 48 is: 72.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.48 : 76.20 = 48 : x
  2. Step 2: Convert to fraction form
    50.48/76.20 = 48/x
  3. Step 3: Cross multiply
    50.48x = 76.20 × 48
  4. Step 4: Simplify right side
    50.48x = 3,657.60
  5. Step 5: Solve for x
    x = 3,657.60/50.48
  6. Step 6: Final answer
    x = 72.46

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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.