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Finding the Fourth Proportional to 65.74, 98.46 and 56.96

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Solution

The fourth proportional to 65.74, 98.46 and 56.96 is: 85.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.74 : 98.46 = 56.96 : x
  2. Step 2: Convert to fraction form
    65.74/98.46 = 56.96/x
  3. Step 3: Cross multiply
    65.74x = 98.46 × 56.96
  4. Step 4: Simplify right side
    65.74x = 5,608.28
  5. Step 5: Solve for x
    x = 5,608.28/65.74
  6. Step 6: Final answer
    x = 85.31

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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.