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Finding the Fourth Proportional to 50.61, 76.07 and 49.46

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Solution

The fourth proportional to 50.61, 76.07 and 49.46 is: 74.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.61 : 76.07 = 49.46 : x
  2. Step 2: Convert to fraction form
    50.61/76.07 = 49.46/x
  3. Step 3: Cross multiply
    50.61x = 76.07 × 49.46
  4. Step 4: Simplify right side
    50.61x = 3,762.42
  5. Step 5: Solve for x
    x = 3,762.42/50.61
  6. Step 6: Final answer
    x = 74.34

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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.