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Finding the Fourth Proportional to 172.98, 238.72 and 103.02

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Solution

The fourth proportional to 172.98, 238.72 and 103.02 is: 142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.98 : 238.72 = 103.02 : x
  2. Step 2: Convert to fraction form
    172.98/238.72 = 103.02/x
  3. Step 3: Cross multiply
    172.98x = 238.72 × 103.02
  4. Step 4: Simplify right side
    172.98x = 24,592.93
  5. Step 5: Solve for x
    x = 24,592.93/172.98
  6. Step 6: Final answer
    x = 142.17

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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.