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Finding the Fourth Proportional to 89.56, 134.30 and 31.76

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Solution

The fourth proportional to 89.56, 134.30 and 31.76 is: 47.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.56 : 134.30 = 31.76 : x
  2. Step 2: Convert to fraction form
    89.56/134.30 = 31.76/x
  3. Step 3: Cross multiply
    89.56x = 134.30 × 31.76
  4. Step 4: Simplify right side
    89.56x = 4,265.21
  5. Step 5: Solve for x
    x = 4,265.21/89.56
  6. Step 6: Final answer
    x = 47.63

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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.