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Finding the Fourth Proportional to 65, 97.64 and 40.92

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Solution

The fourth proportional to 65, 97.64 and 40.92 is: 61.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65 : 97.64 = 40.92 : x
  2. Step 2: Convert to fraction form
    65/97.64 = 40.92/x
  3. Step 3: Cross multiply
    65x = 97.64 × 40.92
  4. Step 4: Simplify right side
    65x = 3,995.43
  5. Step 5: Solve for x
    x = 3,995.43/65
  6. Step 6: Final answer
    x = 61.47

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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.