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Finding the Fourth Proportional to 22.01, 32.95 and 13

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Solution

The fourth proportional to 22.01, 32.95 and 13 is: 19.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.01 : 32.95 = 13 : x
  2. Step 2: Convert to fraction form
    22.01/32.95 = 13/x
  3. Step 3: Cross multiply
    22.01x = 32.95 × 13
  4. Step 4: Simplify right side
    22.01x = 428.35
  5. Step 5: Solve for x
    x = 428.35/22.01
  6. Step 6: Final answer
    x = 19.46

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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.