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Finding the Fourth Proportional to 117.24, 175.16 and 109.66

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Solution

The fourth proportional to 117.24, 175.16 and 109.66 is: 163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.24 : 175.16 = 109.66 : x
  2. Step 2: Convert to fraction form
    117.24/175.16 = 109.66/x
  3. Step 3: Cross multiply
    117.24x = 175.16 × 109.66
  4. Step 4: Simplify right side
    117.24x = 19,208.05
  5. Step 5: Solve for x
    x = 19,208.05/117.24
  6. Step 6: Final answer
    x = 163.84

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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.