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Finding the Fourth Proportional to 174.86, 262.31 and 72.15

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Solution

The fourth proportional to 174.86, 262.31 and 72.15 is: 108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.86 : 262.31 = 72.15 : x
  2. Step 2: Convert to fraction form
    174.86/262.31 = 72.15/x
  3. Step 3: Cross multiply
    174.86x = 262.31 × 72.15
  4. Step 4: Simplify right side
    174.86x = 18,925.31
  5. Step 5: Solve for x
    x = 18,925.31/174.86
  6. Step 6: Final answer
    x = 108.23

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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.