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Finding the Fourth Proportional to 172.91, 259.40 and 100.69

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Solution

The fourth proportional to 172.91, 259.40 and 100.69 is: 151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.91 : 259.40 = 100.69 : x
  2. Step 2: Convert to fraction form
    172.91/259.40 = 100.69/x
  3. Step 3: Cross multiply
    172.91x = 259.40 × 100.69
  4. Step 4: Simplify right side
    172.91x = 26,118.59
  5. Step 5: Solve for x
    x = 26,118.59/172.91
  6. Step 6: Final answer
    x = 151.05

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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.