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Finding the Fourth Proportional to 65.82, 98.77 and 48.66

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Solution

The fourth proportional to 65.82, 98.77 and 48.66 is: 73.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.82 : 98.77 = 48.66 : x
  2. Step 2: Convert to fraction form
    65.82/98.77 = 48.66/x
  3. Step 3: Cross multiply
    65.82x = 98.77 × 48.66
  4. Step 4: Simplify right side
    65.82x = 4,806.15
  5. Step 5: Solve for x
    x = 4,806.15/65.82
  6. Step 6: Final answer
    x = 73.02

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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.