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Finding the Fourth Proportional to 153.93, 212.07 and 112.41

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Solution

The fourth proportional to 153.93, 212.07 and 112.41 is: 154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.93 : 212.07 = 112.41 : x
  2. Step 2: Convert to fraction form
    153.93/212.07 = 112.41/x
  3. Step 3: Cross multiply
    153.93x = 212.07 × 112.41
  4. Step 4: Simplify right side
    153.93x = 23,838.79
  5. Step 5: Solve for x
    x = 23,838.79/153.93
  6. Step 6: Final answer
    x = 154.87

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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.