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Finding the Fourth Proportional to 50.88, 75.80 and 49.84

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Solution

The fourth proportional to 50.88, 75.80 and 49.84 is: 74.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.88 : 75.80 = 49.84 : x
  2. Step 2: Convert to fraction form
    50.88/75.80 = 49.84/x
  3. Step 3: Cross multiply
    50.88x = 75.80 × 49.84
  4. Step 4: Simplify right side
    50.88x = 3,777.87
  5. Step 5: Solve for x
    x = 3,777.87/50.88
  6. Step 6: Final answer
    x = 74.25

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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.