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Finding the Fourth Proportional to 65.85, 98.64 and 41.82

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Solution

The fourth proportional to 65.85, 98.64 and 41.82 is: 62.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.85 : 98.64 = 41.82 : x
  2. Step 2: Convert to fraction form
    65.85/98.64 = 41.82/x
  3. Step 3: Cross multiply
    65.85x = 98.64 × 41.82
  4. Step 4: Simplify right side
    65.85x = 4,125.12
  5. Step 5: Solve for x
    x = 4,125.12/65.85
  6. Step 6: Final answer
    x = 62.64

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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.