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Finding the Fourth Proportional to 172.96, 238.52 and 114.64

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Solution

The fourth proportional to 172.96, 238.52 and 114.64 is: 158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.96 : 238.52 = 114.64 : x
  2. Step 2: Convert to fraction form
    172.96/238.52 = 114.64/x
  3. Step 3: Cross multiply
    172.96x = 238.52 × 114.64
  4. Step 4: Simplify right side
    172.96x = 27,343.93
  5. Step 5: Solve for x
    x = 27,343.93/172.96
  6. Step 6: Final answer
    x = 158.09

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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.