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Finding the Fourth Proportional to 63.74, 96.10 and 63.22

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Solution

The fourth proportional to 63.74, 96.10 and 63.22 is: 95.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.74 : 96.10 = 63.22 : x
  2. Step 2: Convert to fraction form
    63.74/96.10 = 63.22/x
  3. Step 3: Cross multiply
    63.74x = 96.10 × 63.22
  4. Step 4: Simplify right side
    63.74x = 6,075.44
  5. Step 5: Solve for x
    x = 6,075.44/63.74
  6. Step 6: Final answer
    x = 95.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.