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Finding the Fourth Proportional to 113.07, 169.83 and 74.63

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Solution

The fourth proportional to 113.07, 169.83 and 74.63 is: 112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.07 : 169.83 = 74.63 : x
  2. Step 2: Convert to fraction form
    113.07/169.83 = 74.63/x
  3. Step 3: Cross multiply
    113.07x = 169.83 × 74.63
  4. Step 4: Simplify right side
    113.07x = 12,674.41
  5. Step 5: Solve for x
    x = 12,674.41/113.07
  6. Step 6: Final answer
    x = 112.09

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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.