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Finding the Fourth Proportional to 126.48, 188.66 and 112.08

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Solution

The fourth proportional to 126.48, 188.66 and 112.08 is: 167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.48 : 188.66 = 112.08 : x
  2. Step 2: Convert to fraction form
    126.48/188.66 = 112.08/x
  3. Step 3: Cross multiply
    126.48x = 188.66 × 112.08
  4. Step 4: Simplify right side
    126.48x = 21,145.01
  5. Step 5: Solve for x
    x = 21,145.01/126.48
  6. Step 6: Final answer
    x = 167.18

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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.