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Finding the Fourth Proportional to 30.24, 41.80 and 22.13

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Solution

The fourth proportional to 30.24, 41.80 and 22.13 is: 30.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.24 : 41.80 = 22.13 : x
  2. Step 2: Convert to fraction form
    30.24/41.80 = 22.13/x
  3. Step 3: Cross multiply
    30.24x = 41.80 × 22.13
  4. Step 4: Simplify right side
    30.24x = 925.03
  5. Step 5: Solve for x
    x = 925.03/30.24
  6. Step 6: Final answer
    x = 30.59

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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.