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Finding the Fourth Proportional to 167.13, 250.70 and 71.01

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Solution

The fourth proportional to 167.13, 250.70 and 71.01 is: 106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.13 : 250.70 = 71.01 : x
  2. Step 2: Convert to fraction form
    167.13/250.70 = 71.01/x
  3. Step 3: Cross multiply
    167.13x = 250.70 × 71.01
  4. Step 4: Simplify right side
    167.13x = 17,801.85
  5. Step 5: Solve for x
    x = 17,801.85/167.13
  6. Step 6: Final answer
    x = 106.52

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