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Finding the Fourth Proportional to 63.42, 95.16 and 63.22

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Solution

The fourth proportional to 63.42, 95.16 and 63.22 is: 94.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.42 : 95.16 = 63.22 : x
  2. Step 2: Convert to fraction form
    63.42/95.16 = 63.22/x
  3. Step 3: Cross multiply
    63.42x = 95.16 × 63.22
  4. Step 4: Simplify right side
    63.42x = 6,016.02
  5. Step 5: Solve for x
    x = 6,016.02/63.42
  6. Step 6: Final answer
    x = 94.86

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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.