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Finding the Fourth Proportional to 111.90, 167.70 and 50.97

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Solution

The fourth proportional to 111.90, 167.70 and 50.97 is: 76.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.90 : 167.70 = 50.97 : x
  2. Step 2: Convert to fraction form
    111.90/167.70 = 50.97/x
  3. Step 3: Cross multiply
    111.90x = 167.70 × 50.97
  4. Step 4: Simplify right side
    111.90x = 8,547.67
  5. Step 5: Solve for x
    x = 8,547.67/111.90
  6. Step 6: Final answer
    x = 76.39

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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.