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Finding the Fourth Proportional to 116.38, 160.77 and 93.23

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Solution

The fourth proportional to 116.38, 160.77 and 93.23 is: 128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.38 : 160.77 = 93.23 : x
  2. Step 2: Convert to fraction form
    116.38/160.77 = 93.23/x
  3. Step 3: Cross multiply
    116.38x = 160.77 × 93.23
  4. Step 4: Simplify right side
    116.38x = 14,987.32
  5. Step 5: Solve for x
    x = 14,987.32/116.38
  6. Step 6: Final answer
    x = 128.78

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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.