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Finding the Fourth Proportional to 85.53, 128.22 and 42.81

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Solution

The fourth proportional to 85.53, 128.22 and 42.81 is: 64.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.53 : 128.22 = 42.81 : x
  2. Step 2: Convert to fraction form
    85.53/128.22 = 42.81/x
  3. Step 3: Cross multiply
    85.53x = 128.22 × 42.81
  4. Step 4: Simplify right side
    85.53x = 5,489.10
  5. Step 5: Solve for x
    x = 5,489.10/85.53
  6. Step 6: Final answer
    x = 64.18

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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.