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Finding the Fourth Proportional to 98.08, 146.16 and 92.31

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Solution

The fourth proportional to 98.08, 146.16 and 92.31 is: 137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.08 : 146.16 = 92.31 : x
  2. Step 2: Convert to fraction form
    98.08/146.16 = 92.31/x
  3. Step 3: Cross multiply
    98.08x = 146.16 × 92.31
  4. Step 4: Simplify right side
    98.08x = 13,492.03
  5. Step 5: Solve for x
    x = 13,492.03/98.08
  6. Step 6: Final answer
    x = 137.56

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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.