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Finding the Fourth Proportional to 117.98, 163.50 and 115.82

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Solution

The fourth proportional to 117.98, 163.50 and 115.82 is: 160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.98 : 163.50 = 115.82 : x
  2. Step 2: Convert to fraction form
    117.98/163.50 = 115.82/x
  3. Step 3: Cross multiply
    117.98x = 163.50 × 115.82
  4. Step 4: Simplify right side
    117.98x = 18,935.99
  5. Step 5: Solve for x
    x = 18,935.99/117.98
  6. Step 6: Final answer
    x = 160.50

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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.