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Finding the Fourth Proportional to 67.34, 100.74 and 63.50

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Solution

The fourth proportional to 67.34, 100.74 and 63.50 is: 95.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.34 : 100.74 = 63.50 : x
  2. Step 2: Convert to fraction form
    67.34/100.74 = 63.50/x
  3. Step 3: Cross multiply
    67.34x = 100.74 × 63.50
  4. Step 4: Simplify right side
    67.34x = 6,396.99
  5. Step 5: Solve for x
    x = 6,396.99/67.34
  6. Step 6: Final answer
    x = 95.00

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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.