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Finding the Fourth Proportional to 116.29, 160.06 and 92.91

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Solution

The fourth proportional to 116.29, 160.06 and 92.91 is: 127.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.29 : 160.06 = 92.91 : x
  2. Step 2: Convert to fraction form
    116.29/160.06 = 92.91/x
  3. Step 3: Cross multiply
    116.29x = 160.06 × 92.91
  4. Step 4: Simplify right side
    116.29x = 14,870.63
  5. Step 5: Solve for x
    x = 14,870.63/116.29
  6. Step 6: Final answer
    x = 127.87

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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.