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Finding the Fourth Proportional to 117.90, 163.62 and 115

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Solution

The fourth proportional to 117.90, 163.62 and 115 is: 159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.90 : 163.62 = 115 : x
  2. Step 2: Convert to fraction form
    117.90/163.62 = 115/x
  3. Step 3: Cross multiply
    117.90x = 163.62 × 115
  4. Step 4: Simplify right side
    117.90x = 18,816.30
  5. Step 5: Solve for x
    x = 18,816.30/117.90
  6. Step 6: Final answer
    x = 159.60

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.