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Finding the Fourth Proportional to 42.84, 64.22 and 20.03

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Solution

The fourth proportional to 42.84, 64.22 and 20.03 is: 30.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.84 : 64.22 = 20.03 : x
  2. Step 2: Convert to fraction form
    42.84/64.22 = 20.03/x
  3. Step 3: Cross multiply
    42.84x = 64.22 × 20.03
  4. Step 4: Simplify right side
    42.84x = 1,285.91
  5. Step 5: Solve for x
    x = 1,285.91/42.84
  6. Step 6: Final answer
    x = 30.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.