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Finding the Fourth Proportional to 30.90, 46.31 and 19.46

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Solution

The fourth proportional to 30.90, 46.31 and 19.46 is: 29.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.90 : 46.31 = 19.46 : x
  2. Step 2: Convert to fraction form
    30.90/46.31 = 19.46/x
  3. Step 3: Cross multiply
    30.90x = 46.31 × 19.46
  4. Step 4: Simplify right side
    30.90x = 901.21
  5. Step 5: Solve for x
    x = 901.21/30.90
  6. Step 6: Final answer
    x = 29.17

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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.