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Finding the Fourth Proportional to 65.38, 98.02 and 24.75

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Solution

The fourth proportional to 65.38, 98.02 and 24.75 is: 37.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.38 : 98.02 = 24.75 : x
  2. Step 2: Convert to fraction form
    65.38/98.02 = 24.75/x
  3. Step 3: Cross multiply
    65.38x = 98.02 × 24.75
  4. Step 4: Simplify right side
    65.38x = 2,425.38
  5. Step 5: Solve for x
    x = 2,425.38/65.38
  6. Step 6: Final answer
    x = 37.10

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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.