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Finding the Fourth Proportional to 66.81, 100.15 and 32.53

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Solution

The fourth proportional to 66.81, 100.15 and 32.53 is: 48.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.81 : 100.15 = 32.53 : x
  2. Step 2: Convert to fraction form
    66.81/100.15 = 32.53/x
  3. Step 3: Cross multiply
    66.81x = 100.15 × 32.53
  4. Step 4: Simplify right side
    66.81x = 3,257.55
  5. Step 5: Solve for x
    x = 3,257.55/66.81
  6. Step 6: Final answer
    x = 48.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.