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Finding the Fourth Proportional to 98.34, 146.46 and 94.23

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Solution

The fourth proportional to 98.34, 146.46 and 94.23 is: 140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.34 : 146.46 = 94.23 : x
  2. Step 2: Convert to fraction form
    98.34/146.46 = 94.23/x
  3. Step 3: Cross multiply
    98.34x = 146.46 × 94.23
  4. Step 4: Simplify right side
    98.34x = 13,800.93
  5. Step 5: Solve for x
    x = 13,800.93/98.34
  6. Step 6: Final answer
    x = 140.34

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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.