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Finding the Fourth Proportional to 88.67, 132.91 and 31.63

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Solution

The fourth proportional to 88.67, 132.91 and 31.63 is: 47.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.67 : 132.91 = 31.63 : x
  2. Step 2: Convert to fraction form
    88.67/132.91 = 31.63/x
  3. Step 3: Cross multiply
    88.67x = 132.91 × 31.63
  4. Step 4: Simplify right side
    88.67x = 4,203.94
  5. Step 5: Solve for x
    x = 4,203.94/88.67
  6. Step 6: Final answer
    x = 47.41

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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.