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Finding the Fourth Proportional to 117.64, 163.43 and 116.58

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Solution

The fourth proportional to 117.64, 163.43 and 116.58 is: 161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.64 : 163.43 = 116.58 : x
  2. Step 2: Convert to fraction form
    117.64/163.43 = 116.58/x
  3. Step 3: Cross multiply
    117.64x = 163.43 × 116.58
  4. Step 4: Simplify right side
    117.64x = 19,052.67
  5. Step 5: Solve for x
    x = 19,052.67/117.64
  6. Step 6: Final answer
    x = 161.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.