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Finding the Fourth Proportional to 89.53, 134.23 and 31.72

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Solution

The fourth proportional to 89.53, 134.23 and 31.72 is: 47.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.53 : 134.23 = 31.72 : x
  2. Step 2: Convert to fraction form
    89.53/134.23 = 31.72/x
  3. Step 3: Cross multiply
    89.53x = 134.23 × 31.72
  4. Step 4: Simplify right side
    89.53x = 4,257.78
  5. Step 5: Solve for x
    x = 4,257.78/89.53
  6. Step 6: Final answer
    x = 47.56

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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.