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Finding the Fourth Proportional to 21.40, 32.29 and 19.30

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Solution

The fourth proportional to 21.40, 32.29 and 19.30 is: 29.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.40 : 32.29 = 19.30 : x
  2. Step 2: Convert to fraction form
    21.40/32.29 = 19.30/x
  3. Step 3: Cross multiply
    21.40x = 32.29 × 19.30
  4. Step 4: Simplify right side
    21.40x = 623.20
  5. Step 5: Solve for x
    x = 623.20/21.40
  6. Step 6: Final answer
    x = 29.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.