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Finding the Fourth Proportional to 116.01, 174.84 and 109.17

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Solution

The fourth proportional to 116.01, 174.84 and 109.17 is: 164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.01 : 174.84 = 109.17 : x
  2. Step 2: Convert to fraction form
    116.01/174.84 = 109.17/x
  3. Step 3: Cross multiply
    116.01x = 174.84 × 109.17
  4. Step 4: Simplify right side
    116.01x = 19,086.87
  5. Step 5: Solve for x
    x = 19,086.87/116.01
  6. Step 6: Final answer
    x = 164.53

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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.