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Finding the Fourth Proportional to 116.04, 160.07 and 82.86

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Solution

The fourth proportional to 116.04, 160.07 and 82.86 is: 114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.04 : 160.07 = 82.86 : x
  2. Step 2: Convert to fraction form
    116.04/160.07 = 82.86/x
  3. Step 3: Cross multiply
    116.04x = 160.07 × 82.86
  4. Step 4: Simplify right side
    116.04x = 13,262.81
  5. Step 5: Solve for x
    x = 13,262.81/116.04
  6. Step 6: Final answer
    x = 114.29

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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.