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Finding the Fourth Proportional to 50.54, 76.18 and 47.24

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Solution

The fourth proportional to 50.54, 76.18 and 47.24 is: 71.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.54 : 76.18 = 47.24 : x
  2. Step 2: Convert to fraction form
    50.54/76.18 = 47.24/x
  3. Step 3: Cross multiply
    50.54x = 76.18 × 47.24
  4. Step 4: Simplify right side
    50.54x = 3,598.74
  5. Step 5: Solve for x
    x = 3,598.74/50.54
  6. Step 6: Final answer
    x = 71.21

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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.