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Finding the Fourth Proportional to 63.75, 95.46 and 45.37

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Solution

The fourth proportional to 63.75, 95.46 and 45.37 is: 67.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.75 : 95.46 = 45.37 : x
  2. Step 2: Convert to fraction form
    63.75/95.46 = 45.37/x
  3. Step 3: Cross multiply
    63.75x = 95.46 × 45.37
  4. Step 4: Simplify right side
    63.75x = 4,330.32
  5. Step 5: Solve for x
    x = 4,330.32/63.75
  6. Step 6: Final answer
    x = 67.93

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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.