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Finding the Fourth Proportional to 65.69, 98.41 and 40.02

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Solution

The fourth proportional to 65.69, 98.41 and 40.02 is: 59.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.69 : 98.41 = 40.02 : x
  2. Step 2: Convert to fraction form
    65.69/98.41 = 40.02/x
  3. Step 3: Cross multiply
    65.69x = 98.41 × 40.02
  4. Step 4: Simplify right side
    65.69x = 3,938.02
  5. Step 5: Solve for x
    x = 3,938.02/65.69
  6. Step 6: Final answer
    x = 59.95

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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.