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Finding the Fourth Proportional to 65.49, 98.25 and 41.10

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Solution

The fourth proportional to 65.49, 98.25 and 41.10 is: 61.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.49 : 98.25 = 41.10 : x
  2. Step 2: Convert to fraction form
    65.49/98.25 = 41.10/x
  3. Step 3: Cross multiply
    65.49x = 98.25 × 41.10
  4. Step 4: Simplify right side
    65.49x = 4,038.08
  5. Step 5: Solve for x
    x = 4,038.08/65.49
  6. Step 6: Final answer
    x = 61.66

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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.