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Finding the Fourth Proportional to 172.66, 259.13 and 90.31

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Solution

The fourth proportional to 172.66, 259.13 and 90.31 is: 135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.66 : 259.13 = 90.31 : x
  2. Step 2: Convert to fraction form
    172.66/259.13 = 90.31/x
  3. Step 3: Cross multiply
    172.66x = 259.13 × 90.31
  4. Step 4: Simplify right side
    172.66x = 23,402.03
  5. Step 5: Solve for x
    x = 23,402.03/172.66
  6. Step 6: Final answer
    x = 135.54

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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.