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Finding the Fourth Proportional to 172.51, 258.83 and 111.76

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Solution

The fourth proportional to 172.51, 258.83 and 111.76 is: 167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.51 : 258.83 = 111.76 : x
  2. Step 2: Convert to fraction form
    172.51/258.83 = 111.76/x
  3. Step 3: Cross multiply
    172.51x = 258.83 × 111.76
  4. Step 4: Simplify right side
    172.51x = 28,926.84
  5. Step 5: Solve for x
    x = 28,926.84/172.51
  6. Step 6: Final answer
    x = 167.68

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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.