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Finding the Fourth Proportional to 65.23, 97.84 and 24.65

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Solution

The fourth proportional to 65.23, 97.84 and 24.65 is: 36.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.23 : 97.84 = 24.65 : x
  2. Step 2: Convert to fraction form
    65.23/97.84 = 24.65/x
  3. Step 3: Cross multiply
    65.23x = 97.84 × 24.65
  4. Step 4: Simplify right side
    65.23x = 2,411.71
  5. Step 5: Solve for x
    x = 2,411.71/65.23
  6. Step 6: Final answer
    x = 36.97

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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.