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Finding the Fourth Proportional to 172.06, 258.07 and 56.46

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Solution

The fourth proportional to 172.06, 258.07 and 56.46 is: 84.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.06 : 258.07 = 56.46 : x
  2. Step 2: Convert to fraction form
    172.06/258.07 = 56.46/x
  3. Step 3: Cross multiply
    172.06x = 258.07 × 56.46
  4. Step 4: Simplify right side
    172.06x = 14,571.56
  5. Step 5: Solve for x
    x = 14,571.56/172.06
  6. Step 6: Final answer
    x = 84.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.