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Finding the Fourth Proportional to 160.94, 222.02 and 94.52

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Solution

The fourth proportional to 160.94, 222.02 and 94.52 is: 130.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.94 : 222.02 = 94.52 : x
  2. Step 2: Convert to fraction form
    160.94/222.02 = 94.52/x
  3. Step 3: Cross multiply
    160.94x = 222.02 × 94.52
  4. Step 4: Simplify right side
    160.94x = 20,985.81
  5. Step 5: Solve for x
    x = 20,985.81/160.94
  6. Step 6: Final answer
    x = 130.40

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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.