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Finding the Fourth Proportional to 160.94, 222.13 and 105.64

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Solution

The fourth proportional to 160.94, 222.13 and 105.64 is: 145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.94 : 222.13 = 105.64 : x
  2. Step 2: Convert to fraction form
    160.94/222.13 = 105.64/x
  3. Step 3: Cross multiply
    160.94x = 222.13 × 105.64
  4. Step 4: Simplify right side
    160.94x = 23,465.29
  5. Step 5: Solve for x
    x = 23,465.29/160.94
  6. Step 6: Final answer
    x = 145.81

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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.