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Finding the Fourth Proportional to 98.22, 146.43 and 87.90

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Solution

The fourth proportional to 98.22, 146.43 and 87.90 is: 131.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.22 : 146.43 = 87.90 : x
  2. Step 2: Convert to fraction form
    98.22/146.43 = 87.90/x
  3. Step 3: Cross multiply
    98.22x = 146.43 × 87.90
  4. Step 4: Simplify right side
    98.22x = 12,871.20
  5. Step 5: Solve for x
    x = 12,871.20/98.22
  6. Step 6: Final answer
    x = 131.04

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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.