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Finding the Fourth Proportional to 30.70, 46.01 and 20.02

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Solution

The fourth proportional to 30.70, 46.01 and 20.02 is: 30.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.70 : 46.01 = 20.02 : x
  2. Step 2: Convert to fraction form
    30.70/46.01 = 20.02/x
  3. Step 3: Cross multiply
    30.70x = 46.01 × 20.02
  4. Step 4: Simplify right side
    30.70x = 921.12
  5. Step 5: Solve for x
    x = 921.12/30.70
  6. Step 6: Final answer
    x = 30.00

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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.