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Finding the Fourth Proportional to 65.23, 97.88 and 24.68

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Solution

The fourth proportional to 65.23, 97.88 and 24.68 is: 37.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.23 : 97.88 = 24.68 : x
  2. Step 2: Convert to fraction form
    65.23/97.88 = 24.68/x
  3. Step 3: Cross multiply
    65.23x = 97.88 × 24.68
  4. Step 4: Simplify right side
    65.23x = 2,415.73
  5. Step 5: Solve for x
    x = 2,415.73/65.23
  6. Step 6: Final answer
    x = 37.03

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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.