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Finding the Fourth Proportional to 102.20, 152.22 and 97.84

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Solution

The fourth proportional to 102.20, 152.22 and 97.84 is: 145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.20 : 152.22 = 97.84 : x
  2. Step 2: Convert to fraction form
    102.20/152.22 = 97.84/x
  3. Step 3: Cross multiply
    102.20x = 152.22 × 97.84
  4. Step 4: Simplify right side
    102.20x = 14,893.20
  5. Step 5: Solve for x
    x = 14,893.20/102.20
  6. Step 6: Final answer
    x = 145.73

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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.