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Finding the Fourth Proportional to 116.83, 160.88 and 92.19

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Solution

The fourth proportional to 116.83, 160.88 and 92.19 is: 126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.83 : 160.88 = 92.19 : x
  2. Step 2: Convert to fraction form
    116.83/160.88 = 92.19/x
  3. Step 3: Cross multiply
    116.83x = 160.88 × 92.19
  4. Step 4: Simplify right side
    116.83x = 14,831.07
  5. Step 5: Solve for x
    x = 14,831.07/116.83
  6. Step 6: Final answer
    x = 126.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.