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Finding the Fourth Proportional to 113.22, 170.84 and 109.01

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Solution

The fourth proportional to 113.22, 170.84 and 109.01 is: 164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.22 : 170.84 = 109.01 : x
  2. Step 2: Convert to fraction form
    113.22/170.84 = 109.01/x
  3. Step 3: Cross multiply
    113.22x = 170.84 × 109.01
  4. Step 4: Simplify right side
    113.22x = 18,621.87
  5. Step 5: Solve for x
    x = 18,621.87/113.22
  6. Step 6: Final answer
    x = 164.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.