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Finding the Fourth Proportional to 116.64, 175.26 and 109.34

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Solution

The fourth proportional to 116.64, 175.26 and 109.34 is: 164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.64 : 175.26 = 109.34 : x
  2. Step 2: Convert to fraction form
    116.64/175.26 = 109.34/x
  3. Step 3: Cross multiply
    116.64x = 175.26 × 109.34
  4. Step 4: Simplify right side
    116.64x = 19,162.93
  5. Step 5: Solve for x
    x = 19,162.93/116.64
  6. Step 6: Final answer
    x = 164.29

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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.