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Finding the Fourth Proportional to 65.10, 89.87 and 50.57

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Solution

The fourth proportional to 65.10, 89.87 and 50.57 is: 69.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.10 : 89.87 = 50.57 : x
  2. Step 2: Convert to fraction form
    65.10/89.87 = 50.57/x
  3. Step 3: Cross multiply
    65.10x = 89.87 × 50.57
  4. Step 4: Simplify right side
    65.10x = 4,544.73
  5. Step 5: Solve for x
    x = 4,544.73/65.10
  6. Step 6: Final answer
    x = 69.81

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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.