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Finding the Fourth Proportional to 126.54, 188.23 and 116.22

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Solution

The fourth proportional to 126.54, 188.23 and 116.22 is: 172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.54 : 188.23 = 116.22 : x
  2. Step 2: Convert to fraction form
    126.54/188.23 = 116.22/x
  3. Step 3: Cross multiply
    126.54x = 188.23 × 116.22
  4. Step 4: Simplify right side
    126.54x = 21,875.51
  5. Step 5: Solve for x
    x = 21,875.51/126.54
  6. Step 6: Final answer
    x = 172.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.