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Finding the Fourth Proportional to 172.99, 238.66 and 103.06

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Solution

The fourth proportional to 172.99, 238.66 and 103.06 is: 142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.99 : 238.66 = 103.06 : x
  2. Step 2: Convert to fraction form
    172.99/238.66 = 103.06/x
  3. Step 3: Cross multiply
    172.99x = 238.66 × 103.06
  4. Step 4: Simplify right side
    172.99x = 24,596.30
  5. Step 5: Solve for x
    x = 24,596.30/172.99
  6. Step 6: Final answer
    x = 142.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.