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Finding the Fourth Proportional to 172.61, 258.86 and 95.61

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Solution

The fourth proportional to 172.61, 258.86 and 95.61 is: 143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.61 : 258.86 = 95.61 : x
  2. Step 2: Convert to fraction form
    172.61/258.86 = 95.61/x
  3. Step 3: Cross multiply
    172.61x = 258.86 × 95.61
  4. Step 4: Simplify right side
    172.61x = 24,749.84
  5. Step 5: Solve for x
    x = 24,749.84/172.61
  6. Step 6: Final answer
    x = 143.39

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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.