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Finding the Fourth Proportional to 67.66, 100.94 and 64.24

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Solution

The fourth proportional to 67.66, 100.94 and 64.24 is: 95.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.66 : 100.94 = 64.24 : x
  2. Step 2: Convert to fraction form
    67.66/100.94 = 64.24/x
  3. Step 3: Cross multiply
    67.66x = 100.94 × 64.24
  4. Step 4: Simplify right side
    67.66x = 6,484.17
  5. Step 5: Solve for x
    x = 6,484.17/67.66
  6. Step 6: Final answer
    x = 95.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.