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Finding the Fourth Proportional to 160.94, 222.14 and 94.57

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Solution

The fourth proportional to 160.94, 222.14 and 94.57 is: 130.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.94 : 222.14 = 94.57 : x
  2. Step 2: Convert to fraction form
    160.94/222.14 = 94.57/x
  3. Step 3: Cross multiply
    160.94x = 222.14 × 94.57
  4. Step 4: Simplify right side
    160.94x = 21,006.51
  5. Step 5: Solve for x
    x = 21,006.51/160.94
  6. Step 6: Final answer
    x = 130.52

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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.