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Finding the Fourth Proportional to 117.76, 163.60 and 116.70

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Solution

The fourth proportional to 117.76, 163.60 and 116.70 is: 162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.76 : 163.60 = 116.70 : x
  2. Step 2: Convert to fraction form
    117.76/163.60 = 116.70/x
  3. Step 3: Cross multiply
    117.76x = 163.60 × 116.70
  4. Step 4: Simplify right side
    117.76x = 19,092.12
  5. Step 5: Solve for x
    x = 19,092.12/117.76
  6. Step 6: Final answer
    x = 162.13

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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.