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Finding the Fourth Proportional to 113.37, 169.24 and 96.13

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Solution

The fourth proportional to 113.37, 169.24 and 96.13 is: 143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.37 : 169.24 = 96.13 : x
  2. Step 2: Convert to fraction form
    113.37/169.24 = 96.13/x
  3. Step 3: Cross multiply
    113.37x = 169.24 × 96.13
  4. Step 4: Simplify right side
    113.37x = 16,269.04
  5. Step 5: Solve for x
    x = 16,269.04/113.37
  6. Step 6: Final answer
    x = 143.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.