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Finding the Fourth Proportional to 50.36, 76.00 and 48.50

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Solution

The fourth proportional to 50.36, 76.00 and 48.50 is: 73.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.36 : 76.00 = 48.50 : x
  2. Step 2: Convert to fraction form
    50.36/76.00 = 48.50/x
  3. Step 3: Cross multiply
    50.36x = 76.00 × 48.50
  4. Step 4: Simplify right side
    50.36x = 3,685.38
  5. Step 5: Solve for x
    x = 3,685.38/50.36
  6. Step 6: Final answer
    x = 73.18

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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.