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Finding the Fourth Proportional to 98.10, 146.45 and 97.83

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Solution

The fourth proportional to 98.10, 146.45 and 97.83 is: 146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.10 : 146.45 = 97.83 : x
  2. Step 2: Convert to fraction form
    98.10/146.45 = 97.83/x
  3. Step 3: Cross multiply
    98.10x = 146.45 × 97.83
  4. Step 4: Simplify right side
    98.10x = 14,327.45
  5. Step 5: Solve for x
    x = 14,327.45/98.10
  6. Step 6: Final answer
    x = 146.05

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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.