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Finding the Fourth Proportional to 117.32, 161.82 and 77.99

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Solution

The fourth proportional to 117.32, 161.82 and 77.99 is: 107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.32 : 161.82 = 77.99 : x
  2. Step 2: Convert to fraction form
    117.32/161.82 = 77.99/x
  3. Step 3: Cross multiply
    117.32x = 161.82 × 77.99
  4. Step 4: Simplify right side
    117.32x = 12,619.53
  5. Step 5: Solve for x
    x = 12,619.53/117.32
  6. Step 6: Final answer
    x = 107.57

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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.