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Finding the Fourth Proportional to 174.09, 261.03 and 92.89

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Solution

The fourth proportional to 174.09, 261.03 and 92.89 is: 139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.09 : 261.03 = 92.89 : x
  2. Step 2: Convert to fraction form
    174.09/261.03 = 92.89/x
  3. Step 3: Cross multiply
    174.09x = 261.03 × 92.89
  4. Step 4: Simplify right side
    174.09x = 24,246.42
  5. Step 5: Solve for x
    x = 24,246.42/174.09
  6. Step 6: Final answer
    x = 139.28

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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.