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Finding the Fourth Proportional to 50.04, 74.95 and 34.84

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Solution

The fourth proportional to 50.04, 74.95 and 34.84 is: 52.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.04 : 74.95 = 34.84 : x
  2. Step 2: Convert to fraction form
    50.04/74.95 = 34.84/x
  3. Step 3: Cross multiply
    50.04x = 74.95 × 34.84
  4. Step 4: Simplify right side
    50.04x = 2,611.05
  5. Step 5: Solve for x
    x = 2,611.05/50.04
  6. Step 6: Final answer
    x = 52.18

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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.