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Finding the Fourth Proportional to 167.09, 250.70 and 85.95

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Solution

The fourth proportional to 167.09, 250.70 and 85.95 is: 128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.09 : 250.70 = 85.95 : x
  2. Step 2: Convert to fraction form
    167.09/250.70 = 85.95/x
  3. Step 3: Cross multiply
    167.09x = 250.70 × 85.95
  4. Step 4: Simplify right side
    167.09x = 21,547.24
  5. Step 5: Solve for x
    x = 21,547.24/167.09
  6. Step 6: Final answer
    x = 128.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.