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Finding the Fourth Proportional to 88.39, 132.57 and 24.25

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Solution

The fourth proportional to 88.39, 132.57 and 24.25 is: 36.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.39 : 132.57 = 24.25 : x
  2. Step 2: Convert to fraction form
    88.39/132.57 = 24.25/x
  3. Step 3: Cross multiply
    88.39x = 132.57 × 24.25
  4. Step 4: Simplify right side
    88.39x = 3,214.82
  5. Step 5: Solve for x
    x = 3,214.82/88.39
  6. Step 6: Final answer
    x = 36.37

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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.