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Finding the Fourth Proportional to 50.02, 74.89 and 35.50

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Solution

The fourth proportional to 50.02, 74.89 and 35.50 is: 53.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.02 : 74.89 = 35.50 : x
  2. Step 2: Convert to fraction form
    50.02/74.89 = 35.50/x
  3. Step 3: Cross multiply
    50.02x = 74.89 × 35.50
  4. Step 4: Simplify right side
    50.02x = 2,658.22
  5. Step 5: Solve for x
    x = 2,658.22/50.02
  6. Step 6: Final answer
    x = 53.15

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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.