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Finding the Fourth Proportional to 88.29, 132.39 and 52.23

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Solution

The fourth proportional to 88.29, 132.39 and 52.23 is: 78.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.29 : 132.39 = 52.23 : x
  2. Step 2: Convert to fraction form
    88.29/132.39 = 52.23/x
  3. Step 3: Cross multiply
    88.29x = 132.39 × 52.23
  4. Step 4: Simplify right side
    88.29x = 6,914.73
  5. Step 5: Solve for x
    x = 6,914.73/88.29
  6. Step 6: Final answer
    x = 78.32

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Why These Related Problems?

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