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Finding the Fourth Proportional to 65.67, 98.43 and 27.13

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Solution

The fourth proportional to 65.67, 98.43 and 27.13 is: 40.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.67 : 98.43 = 27.13 : x
  2. Step 2: Convert to fraction form
    65.67/98.43 = 27.13/x
  3. Step 3: Cross multiply
    65.67x = 98.43 × 27.13
  4. Step 4: Simplify right side
    65.67x = 2,670.41
  5. Step 5: Solve for x
    x = 2,670.41/65.67
  6. Step 6: Final answer
    x = 40.66

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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.