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Finding the Fourth Proportional to 172.56, 259.32 and 104.10

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Solution

The fourth proportional to 172.56, 259.32 and 104.10 is: 156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.56 : 259.32 = 104.10 : x
  2. Step 2: Convert to fraction form
    172.56/259.32 = 104.10/x
  3. Step 3: Cross multiply
    172.56x = 259.32 × 104.10
  4. Step 4: Simplify right side
    172.56x = 26,995.21
  5. Step 5: Solve for x
    x = 26,995.21/172.56
  6. Step 6: Final answer
    x = 156.44

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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.