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Finding the Fourth Proportional to 172.24, 237.66 and 110.10

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Solution

The fourth proportional to 172.24, 237.66 and 110.10 is: 151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.24 : 237.66 = 110.10 : x
  2. Step 2: Convert to fraction form
    172.24/237.66 = 110.10/x
  3. Step 3: Cross multiply
    172.24x = 237.66 × 110.10
  4. Step 4: Simplify right side
    172.24x = 26,166.37
  5. Step 5: Solve for x
    x = 26,166.37/172.24
  6. Step 6: Final answer
    x = 151.92

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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.