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Finding the Fourth Proportional to 50.80, 75.78 and 46.24

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Solution

The fourth proportional to 50.80, 75.78 and 46.24 is: 68.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.80 : 75.78 = 46.24 : x
  2. Step 2: Convert to fraction form
    50.80/75.78 = 46.24/x
  3. Step 3: Cross multiply
    50.80x = 75.78 × 46.24
  4. Step 4: Simplify right side
    50.80x = 3,504.07
  5. Step 5: Solve for x
    x = 3,504.07/50.80
  6. Step 6: Final answer
    x = 68.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.