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Finding the Fourth Proportional to 117.29, 161.84 and 64.82

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Solution

The fourth proportional to 117.29, 161.84 and 64.82 is: 89.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.29 : 161.84 = 64.82 : x
  2. Step 2: Convert to fraction form
    117.29/161.84 = 64.82/x
  3. Step 3: Cross multiply
    117.29x = 161.84 × 64.82
  4. Step 4: Simplify right side
    117.29x = 10,490.55
  5. Step 5: Solve for x
    x = 10,490.55/117.29
  6. Step 6: Final answer
    x = 89.44

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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.