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Finding the Fourth Proportional to 98.28, 146.61 and 94.77

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Solution

The fourth proportional to 98.28, 146.61 and 94.77 is: 141.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.28 : 146.61 = 94.77 : x
  2. Step 2: Convert to fraction form
    98.28/146.61 = 94.77/x
  3. Step 3: Cross multiply
    98.28x = 146.61 × 94.77
  4. Step 4: Simplify right side
    98.28x = 13,894.23
  5. Step 5: Solve for x
    x = 13,894.23/98.28
  6. Step 6: Final answer
    x = 141.37

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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.