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Finding the Fourth Proportional to 117.62, 161.86 and 108.50

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Solution

The fourth proportional to 117.62, 161.86 and 108.50 is: 149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.62 : 161.86 = 108.50 : x
  2. Step 2: Convert to fraction form
    117.62/161.86 = 108.50/x
  3. Step 3: Cross multiply
    117.62x = 161.86 × 108.50
  4. Step 4: Simplify right side
    117.62x = 17,561.81
  5. Step 5: Solve for x
    x = 17,561.81/117.62
  6. Step 6: Final answer
    x = 149.31

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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.