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Finding the Fourth Proportional to 65.97, 98.78 and 52.47

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Solution

The fourth proportional to 65.97, 98.78 and 52.47 is: 78.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.97 : 98.78 = 52.47 : x
  2. Step 2: Convert to fraction form
    65.97/98.78 = 52.47/x
  3. Step 3: Cross multiply
    65.97x = 98.78 × 52.47
  4. Step 4: Simplify right side
    65.97x = 5,182.72
  5. Step 5: Solve for x
    x = 5,182.72/65.97
  6. Step 6: Final answer
    x = 78.56

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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.