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Finding the Fourth Proportional to 65.10, 89.87 and 41.79

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Solution

The fourth proportional to 65.10, 89.87 and 41.79 is: 57.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.10 : 89.87 = 41.79 : x
  2. Step 2: Convert to fraction form
    65.10/89.87 = 41.79/x
  3. Step 3: Cross multiply
    65.10x = 89.87 × 41.79
  4. Step 4: Simplify right side
    65.10x = 3,755.23
  5. Step 5: Solve for x
    x = 3,755.23/65.10
  6. Step 6: Final answer
    x = 57.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.