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Finding the Fourth Proportional to 172.86, 259.08 and 124.66

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Solution

The fourth proportional to 172.86, 259.08 and 124.66 is: 186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.86 : 259.08 = 124.66 : x
  2. Step 2: Convert to fraction form
    172.86/259.08 = 124.66/x
  3. Step 3: Cross multiply
    172.86x = 259.08 × 124.66
  4. Step 4: Simplify right side
    172.86x = 32,296.91
  5. Step 5: Solve for x
    x = 32,296.91/172.86
  6. Step 6: Final answer
    x = 186.84

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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.