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Finding the Fourth Proportional to 117.01, 161.47 and 67.22

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Solution

The fourth proportional to 117.01, 161.47 and 67.22 is: 92.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.01 : 161.47 = 67.22 : x
  2. Step 2: Convert to fraction form
    117.01/161.47 = 67.22/x
  3. Step 3: Cross multiply
    117.01x = 161.47 × 67.22
  4. Step 4: Simplify right side
    117.01x = 10,854.01
  5. Step 5: Solve for x
    x = 10,854.01/117.01
  6. Step 6: Final answer
    x = 92.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.