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Finding the Fourth Proportional to 68.72, 102.94 and 64.46

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Solution

The fourth proportional to 68.72, 102.94 and 64.46 is: 96.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.72 : 102.94 = 64.46 : x
  2. Step 2: Convert to fraction form
    68.72/102.94 = 64.46/x
  3. Step 3: Cross multiply
    68.72x = 102.94 × 64.46
  4. Step 4: Simplify right side
    68.72x = 6,635.61
  5. Step 5: Solve for x
    x = 6,635.61/68.72
  6. Step 6: Final answer
    x = 96.57

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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.