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Finding the Fourth Proportional to 50.02, 75.06 and 44.74

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Solution

The fourth proportional to 50.02, 75.06 and 44.74 is: 67.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.02 : 75.06 = 44.74 : x
  2. Step 2: Convert to fraction form
    50.02/75.06 = 44.74/x
  3. Step 3: Cross multiply
    50.02x = 75.06 × 44.74
  4. Step 4: Simplify right side
    50.02x = 3,358.18
  5. Step 5: Solve for x
    x = 3,358.18/50.02
  6. Step 6: Final answer
    x = 67.14

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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.