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Finding the Fourth Proportional to 117.34, 161.91 and 73.64

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Solution

The fourth proportional to 117.34, 161.91 and 73.64 is: 101.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.34 : 161.91 = 73.64 : x
  2. Step 2: Convert to fraction form
    117.34/161.91 = 73.64/x
  3. Step 3: Cross multiply
    117.34x = 161.91 × 73.64
  4. Step 4: Simplify right side
    117.34x = 11,923.05
  5. Step 5: Solve for x
    x = 11,923.05/117.34
  6. Step 6: Final answer
    x = 101.61

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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.