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Finding the Fourth Proportional to 117.28, 161.82 and 78.46

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Solution

The fourth proportional to 117.28, 161.82 and 78.46 is: 108.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.28 : 161.82 = 78.46 : x
  2. Step 2: Convert to fraction form
    117.28/161.82 = 78.46/x
  3. Step 3: Cross multiply
    117.28x = 161.82 × 78.46
  4. Step 4: Simplify right side
    117.28x = 12,696.40
  5. Step 5: Solve for x
    x = 12,696.40/117.28
  6. Step 6: Final answer
    x = 108.26

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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.