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Finding the Fourth Proportional to 117.46, 161.76 and 100.84

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Solution

The fourth proportional to 117.46, 161.76 and 100.84 is: 138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.46 : 161.76 = 100.84 : x
  2. Step 2: Convert to fraction form
    117.46/161.76 = 100.84/x
  3. Step 3: Cross multiply
    117.46x = 161.76 × 100.84
  4. Step 4: Simplify right side
    117.46x = 16,311.88
  5. Step 5: Solve for x
    x = 16,311.88/117.46
  6. Step 6: Final answer
    x = 138.87

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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.