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Finding the Fourth Proportional to 142.08, 195.52 and 117.60

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Solution

The fourth proportional to 142.08, 195.52 and 117.60 is: 161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.08 : 195.52 = 117.60 : x
  2. Step 2: Convert to fraction form
    142.08/195.52 = 117.60/x
  3. Step 3: Cross multiply
    142.08x = 195.52 × 117.60
  4. Step 4: Simplify right side
    142.08x = 22,993.15
  5. Step 5: Solve for x
    x = 22,993.15/142.08
  6. Step 6: Final answer
    x = 161.83

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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.