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Finding the Fourth Proportional to 116.12, 160.04 and 89.92

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Solution

The fourth proportional to 116.12, 160.04 and 89.92 is: 123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.12 : 160.04 = 89.92 : x
  2. Step 2: Convert to fraction form
    116.12/160.04 = 89.92/x
  3. Step 3: Cross multiply
    116.12x = 160.04 × 89.92
  4. Step 4: Simplify right side
    116.12x = 14,390.80
  5. Step 5: Solve for x
    x = 14,390.80/116.12
  6. Step 6: Final answer
    x = 123.93

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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.