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Finding the Fourth Proportional to 172.71, 238.23 and 110.43

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Solution

The fourth proportional to 172.71, 238.23 and 110.43 is: 152.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.71 : 238.23 = 110.43 : x
  2. Step 2: Convert to fraction form
    172.71/238.23 = 110.43/x
  3. Step 3: Cross multiply
    172.71x = 238.23 × 110.43
  4. Step 4: Simplify right side
    172.71x = 26,307.74
  5. Step 5: Solve for x
    x = 26,307.74/172.71
  6. Step 6: Final answer
    x = 152.32

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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.