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Finding the Fourth Proportional to 117.98, 163.58 and 116.08

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Solution

The fourth proportional to 117.98, 163.58 and 116.08 is: 160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.98 : 163.58 = 116.08 : x
  2. Step 2: Convert to fraction form
    117.98/163.58 = 116.08/x
  3. Step 3: Cross multiply
    117.98x = 163.58 × 116.08
  4. Step 4: Simplify right side
    117.98x = 18,988.37
  5. Step 5: Solve for x
    x = 18,988.37/117.98
  6. Step 6: Final answer
    x = 160.95

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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.