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Finding the Fourth Proportional to 192.66, 289.01 and 55.71

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Solution

The fourth proportional to 192.66, 289.01 and 55.71 is: 83.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.66 : 289.01 = 55.71 : x
  2. Step 2: Convert to fraction form
    192.66/289.01 = 55.71/x
  3. Step 3: Cross multiply
    192.66x = 289.01 × 55.71
  4. Step 4: Simplify right side
    192.66x = 16,100.47
  5. Step 5: Solve for x
    x = 16,100.47/192.66
  6. Step 6: Final answer
    x = 83.57

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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.