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Finding the Fourth Proportional to 117.32, 161.96 and 84.51

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Solution

The fourth proportional to 117.32, 161.96 and 84.51 is: 116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.32 : 161.96 = 84.51 : x
  2. Step 2: Convert to fraction form
    117.32/161.96 = 84.51/x
  3. Step 3: Cross multiply
    117.32x = 161.96 × 84.51
  4. Step 4: Simplify right side
    117.32x = 13,686.82
  5. Step 5: Solve for x
    x = 13,686.82/117.32
  6. Step 6: Final answer
    x = 116.67

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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.