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Finding the Fourth Proportional to 67.98, 102.56 and 64.74

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Solution

The fourth proportional to 67.98, 102.56 and 64.74 is: 97.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.98 : 102.56 = 64.74 : x
  2. Step 2: Convert to fraction form
    67.98/102.56 = 64.74/x
  3. Step 3: Cross multiply
    67.98x = 102.56 × 64.74
  4. Step 4: Simplify right side
    67.98x = 6,639.73
  5. Step 5: Solve for x
    x = 6,639.73/67.98
  6. Step 6: Final answer
    x = 97.67

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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.