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Finding the Fourth Proportional to 29.02, 40.10 and 24.22

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Solution

The fourth proportional to 29.02, 40.10 and 24.22 is: 33.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.02 : 40.10 = 24.22 : x
  2. Step 2: Convert to fraction form
    29.02/40.10 = 24.22/x
  3. Step 3: Cross multiply
    29.02x = 40.10 × 24.22
  4. Step 4: Simplify right side
    29.02x = 971.22
  5. Step 5: Solve for x
    x = 971.22/29.02
  6. Step 6: Final answer
    x = 33.47

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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.