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Finding the Fourth Proportional to 88.94, 132.83 and 75.27

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Solution

The fourth proportional to 88.94, 132.83 and 75.27 is: 112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.94 : 132.83 = 75.27 : x
  2. Step 2: Convert to fraction form
    88.94/132.83 = 75.27/x
  3. Step 3: Cross multiply
    88.94x = 132.83 × 75.27
  4. Step 4: Simplify right side
    88.94x = 9,997.74
  5. Step 5: Solve for x
    x = 9,997.74/88.94
  6. Step 6: Final answer
    x = 112.42

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Why These Related Problems?

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