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Finding the Fourth Proportional to 30.84, 46.38 and 20.16

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Solution

The fourth proportional to 30.84, 46.38 and 20.16 is: 30.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.84 : 46.38 = 20.16 : x
  2. Step 2: Convert to fraction form
    30.84/46.38 = 20.16/x
  3. Step 3: Cross multiply
    30.84x = 46.38 × 20.16
  4. Step 4: Simplify right side
    30.84x = 935.02
  5. Step 5: Solve for x
    x = 935.02/30.84
  6. Step 6: Final answer
    x = 30.32

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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.