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Finding the Fourth Proportional to 29.22, 40.30 and 24.06

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Solution

The fourth proportional to 29.22, 40.30 and 24.06 is: 33.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.22 : 40.30 = 24.06 : x
  2. Step 2: Convert to fraction form
    29.22/40.30 = 24.06/x
  3. Step 3: Cross multiply
    29.22x = 40.30 × 24.06
  4. Step 4: Simplify right side
    29.22x = 969.62
  5. Step 5: Solve for x
    x = 969.62/29.22
  6. Step 6: Final answer
    x = 33.19

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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.