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Finding the Fourth Proportional to 65.23, 97.89 and 50.02

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Solution

The fourth proportional to 65.23, 97.89 and 50.02 is: 75.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.23 : 97.89 = 50.02 : x
  2. Step 2: Convert to fraction form
    65.23/97.89 = 50.02/x
  3. Step 3: Cross multiply
    65.23x = 97.89 × 50.02
  4. Step 4: Simplify right side
    65.23x = 4,896.46
  5. Step 5: Solve for x
    x = 4,896.46/65.23
  6. Step 6: Final answer
    x = 75.06

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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.