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Finding the Fourth Proportional to 117.24, 161.76 and 84.57

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Solution

The fourth proportional to 117.24, 161.76 and 84.57 is: 116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.24 : 161.76 = 84.57 : x
  2. Step 2: Convert to fraction form
    117.24/161.76 = 84.57/x
  3. Step 3: Cross multiply
    117.24x = 161.76 × 84.57
  4. Step 4: Simplify right side
    117.24x = 13,680.04
  5. Step 5: Solve for x
    x = 13,680.04/117.24
  6. Step 6: Final answer
    x = 116.68

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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.