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Finding the Fourth Proportional to 65.25, 97.86 and 24.66

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Solution

The fourth proportional to 65.25, 97.86 and 24.66 is: 36.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.25 : 97.86 = 24.66 : x
  2. Step 2: Convert to fraction form
    65.25/97.86 = 24.66/x
  3. Step 3: Cross multiply
    65.25x = 97.86 × 24.66
  4. Step 4: Simplify right side
    65.25x = 2,413.23
  5. Step 5: Solve for x
    x = 2,413.23/65.25
  6. Step 6: Final answer
    x = 36.98

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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.