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Finding the Fourth Proportional to 113.99, 170.33 and 109.76

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Solution

The fourth proportional to 113.99, 170.33 and 109.76 is: 164.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.99 : 170.33 = 109.76 : x
  2. Step 2: Convert to fraction form
    113.99/170.33 = 109.76/x
  3. Step 3: Cross multiply
    113.99x = 170.33 × 109.76
  4. Step 4: Simplify right side
    113.99x = 18,694.02
  5. Step 5: Solve for x
    x = 18,694.02/113.99
  6. Step 6: Final answer
    x = 164.00

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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.