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Finding the Fourth Proportional to 167.84, 231.60 and 94.16

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Solution

The fourth proportional to 167.84, 231.60 and 94.16 is: 129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.84 : 231.60 = 94.16 : x
  2. Step 2: Convert to fraction form
    167.84/231.60 = 94.16/x
  3. Step 3: Cross multiply
    167.84x = 231.60 × 94.16
  4. Step 4: Simplify right side
    167.84x = 21,807.46
  5. Step 5: Solve for x
    x = 21,807.46/167.84
  6. Step 6: Final answer
    x = 129.93

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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.