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Finding the Fourth Proportional to 67.08, 100.72 and 64.58

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Solution

The fourth proportional to 67.08, 100.72 and 64.58 is: 96.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.08 : 100.72 = 64.58 : x
  2. Step 2: Convert to fraction form
    67.08/100.72 = 64.58/x
  3. Step 3: Cross multiply
    67.08x = 100.72 × 64.58
  4. Step 4: Simplify right side
    67.08x = 6,505.09
  5. Step 5: Solve for x
    x = 6,505.09/67.08
  6. Step 6: Final answer
    x = 96.97

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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.