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Finding the Fourth Proportional to 21.70, 29.93 and 13.50

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Solution

The fourth proportional to 21.70, 29.93 and 13.50 is: 18.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.70 : 29.93 = 13.50 : x
  2. Step 2: Convert to fraction form
    21.70/29.93 = 13.50/x
  3. Step 3: Cross multiply
    21.70x = 29.93 × 13.50
  4. Step 4: Simplify right side
    21.70x = 404.07
  5. Step 5: Solve for x
    x = 404.07/21.70
  6. Step 6: Final answer
    x = 18.62

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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.