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Finding the Fourth Proportional to 117.36, 161.44 and 116.57

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Solution

The fourth proportional to 117.36, 161.44 and 116.57 is: 160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.36 : 161.44 = 116.57 : x
  2. Step 2: Convert to fraction form
    117.36/161.44 = 116.57/x
  3. Step 3: Cross multiply
    117.36x = 161.44 × 116.57
  4. Step 4: Simplify right side
    117.36x = 18,819.17
  5. Step 5: Solve for x
    x = 18,819.17/117.36
  6. Step 6: Final answer
    x = 160.35

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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.