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Finding the Fourth Proportional to 65.82, 98.52 and 55.46

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Solution

The fourth proportional to 65.82, 98.52 and 55.46 is: 83.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.82 : 98.52 = 55.46 : x
  2. Step 2: Convert to fraction form
    65.82/98.52 = 55.46/x
  3. Step 3: Cross multiply
    65.82x = 98.52 × 55.46
  4. Step 4: Simplify right side
    65.82x = 5,463.92
  5. Step 5: Solve for x
    x = 5,463.92/65.82
  6. Step 6: Final answer
    x = 83.01

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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.