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Finding the Fourth Proportional to 68.67, 95.20 and 64.53

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Solution

The fourth proportional to 68.67, 95.20 and 64.53 is: 89.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.67 : 95.20 = 64.53 : x
  2. Step 2: Convert to fraction form
    68.67/95.20 = 64.53/x
  3. Step 3: Cross multiply
    68.67x = 95.20 × 64.53
  4. Step 4: Simplify right side
    68.67x = 6,143.26
  5. Step 5: Solve for x
    x = 6,143.26/68.67
  6. Step 6: Final answer
    x = 89.46

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.