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Finding the Fourth Proportional to 112.19, 154.59 and 92.46

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Solution

The fourth proportional to 112.19, 154.59 and 92.46 is: 127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.19 : 154.59 = 92.46 : x
  2. Step 2: Convert to fraction form
    112.19/154.59 = 92.46/x
  3. Step 3: Cross multiply
    112.19x = 154.59 × 92.46
  4. Step 4: Simplify right side
    112.19x = 14,292.62
  5. Step 5: Solve for x
    x = 14,292.62/112.19
  6. Step 6: Final answer
    x = 127.40

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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.