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Finding the Fourth Proportional to 65.12, 98.02 and 50.10

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Solution

The fourth proportional to 65.12, 98.02 and 50.10 is: 75.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.12 : 98.02 = 50.10 : x
  2. Step 2: Convert to fraction form
    65.12/98.02 = 50.10/x
  3. Step 3: Cross multiply
    65.12x = 98.02 × 50.10
  4. Step 4: Simplify right side
    65.12x = 4,910.80
  5. Step 5: Solve for x
    x = 4,910.80/65.12
  6. Step 6: Final answer
    x = 75.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.