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Finding the Fourth Proportional to 117.51, 161.82 and 109.51

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Solution

The fourth proportional to 117.51, 161.82 and 109.51 is: 150.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.51 : 161.82 = 109.51 : x
  2. Step 2: Convert to fraction form
    117.51/161.82 = 109.51/x
  3. Step 3: Cross multiply
    117.51x = 161.82 × 109.51
  4. Step 4: Simplify right side
    117.51x = 17,720.91
  5. Step 5: Solve for x
    x = 17,720.91/117.51
  6. Step 6: Final answer
    x = 150.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.