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Finding the Fourth Proportional to 30.39, 41.99 and 21.21

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Solution

The fourth proportional to 30.39, 41.99 and 21.21 is: 29.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.39 : 41.99 = 21.21 : x
  2. Step 2: Convert to fraction form
    30.39/41.99 = 21.21/x
  3. Step 3: Cross multiply
    30.39x = 41.99 × 21.21
  4. Step 4: Simplify right side
    30.39x = 890.50
  5. Step 5: Solve for x
    x = 890.50/30.39
  6. Step 6: Final answer
    x = 29.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.