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Finding the Fourth Proportional to 172.98, 238.65 and 106.56

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Solution

The fourth proportional to 172.98, 238.65 and 106.56 is: 147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.98 : 238.65 = 106.56 : x
  2. Step 2: Convert to fraction form
    172.98/238.65 = 106.56/x
  3. Step 3: Cross multiply
    172.98x = 238.65 × 106.56
  4. Step 4: Simplify right side
    172.98x = 25,430.54
  5. Step 5: Solve for x
    x = 25,430.54/172.98
  6. Step 6: Final answer
    x = 147.01

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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.