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Finding the Fourth Proportional to 117.33, 161.97 and 96.60

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Solution

The fourth proportional to 117.33, 161.97 and 96.60 is: 133.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.33 : 161.97 = 96.60 : x
  2. Step 2: Convert to fraction form
    117.33/161.97 = 96.60/x
  3. Step 3: Cross multiply
    117.33x = 161.97 × 96.60
  4. Step 4: Simplify right side
    117.33x = 15,646.30
  5. Step 5: Solve for x
    x = 15,646.30/117.33
  6. Step 6: Final answer
    x = 133.35

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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.