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Finding the Fourth Proportional to 117.24, 161.68 and 87.60

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Solution

The fourth proportional to 117.24, 161.68 and 87.60 is: 120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.24 : 161.68 = 87.60 : x
  2. Step 2: Convert to fraction form
    117.24/161.68 = 87.60/x
  3. Step 3: Cross multiply
    117.24x = 161.68 × 87.60
  4. Step 4: Simplify right side
    117.24x = 14,163.17
  5. Step 5: Solve for x
    x = 14,163.17/117.24
  6. Step 6: Final answer
    x = 120.80

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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.