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Finding the Fourth Proportional to 160.71, 221.75 and 94.31

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Solution

The fourth proportional to 160.71, 221.75 and 94.31 is: 130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.71 : 221.75 = 94.31 : x
  2. Step 2: Convert to fraction form
    160.71/221.75 = 94.31/x
  3. Step 3: Cross multiply
    160.71x = 221.75 × 94.31
  4. Step 4: Simplify right side
    160.71x = 20,913.24
  5. Step 5: Solve for x
    x = 20,913.24/160.71
  6. Step 6: Final answer
    x = 130.13

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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.