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Finding the Fourth Proportional to 22.30, 30.72 and 15.01

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Solution

The fourth proportional to 22.30, 30.72 and 15.01 is: 20.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.30 : 30.72 = 15.01 : x
  2. Step 2: Convert to fraction form
    22.30/30.72 = 15.01/x
  3. Step 3: Cross multiply
    22.30x = 30.72 × 15.01
  4. Step 4: Simplify right side
    22.30x = 461.11
  5. Step 5: Solve for x
    x = 461.11/22.30
  6. Step 6: Final answer
    x = 20.68

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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.