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Finding the Fourth Proportional to 65.43, 98.15 and 51.88

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Solution

The fourth proportional to 65.43, 98.15 and 51.88 is: 77.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.43 : 98.15 = 51.88 : x
  2. Step 2: Convert to fraction form
    65.43/98.15 = 51.88/x
  3. Step 3: Cross multiply
    65.43x = 98.15 × 51.88
  4. Step 4: Simplify right side
    65.43x = 5,092.02
  5. Step 5: Solve for x
    x = 5,092.02/65.43
  6. Step 6: Final answer
    x = 77.82

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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.