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Finding the Fourth Proportional to 111.58, 167.03 and 72.98

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Solution

The fourth proportional to 111.58, 167.03 and 72.98 is: 109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.58 : 167.03 = 72.98 : x
  2. Step 2: Convert to fraction form
    111.58/167.03 = 72.98/x
  3. Step 3: Cross multiply
    111.58x = 167.03 × 72.98
  4. Step 4: Simplify right side
    111.58x = 12,188.65
  5. Step 5: Solve for x
    x = 12,188.65/111.58
  6. Step 6: Final answer
    x = 109.24

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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.