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Finding the Fourth Proportional to 50.02, 74.93 and 30.77

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Solution

The fourth proportional to 50.02, 74.93 and 30.77 is: 46.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.02 : 74.93 = 30.77 : x
  2. Step 2: Convert to fraction form
    50.02/74.93 = 30.77/x
  3. Step 3: Cross multiply
    50.02x = 74.93 × 30.77
  4. Step 4: Simplify right side
    50.02x = 2,305.35
  5. Step 5: Solve for x
    x = 2,305.35/50.02
  6. Step 6: Final answer
    x = 46.09

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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.