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Finding the Fourth Proportional to 172.66, 259 and 99.56

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Solution

The fourth proportional to 172.66, 259 and 99.56 is: 149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.66 : 259 = 99.56 : x
  2. Step 2: Convert to fraction form
    172.66/259 = 99.56/x
  3. Step 3: Cross multiply
    172.66x = 259 × 99.56
  4. Step 4: Simplify right side
    172.66x = 25,786.04
  5. Step 5: Solve for x
    x = 25,786.04/172.66
  6. Step 6: Final answer
    x = 149.35

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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.