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Finding the Fourth Proportional to 50.30, 75.46 and 16.06

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Solution

The fourth proportional to 50.30, 75.46 and 16.06 is: 24.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.30 : 75.46 = 16.06 : x
  2. Step 2: Convert to fraction form
    50.30/75.46 = 16.06/x
  3. Step 3: Cross multiply
    50.30x = 75.46 × 16.06
  4. Step 4: Simplify right side
    50.30x = 1,212.04
  5. Step 5: Solve for x
    x = 1,212.04/50.30
  6. Step 6: Final answer
    x = 24.09

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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.