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Finding the Fourth Proportional to 29.64, 40.73 and 24.17

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Solution

The fourth proportional to 29.64, 40.73 and 24.17 is: 33.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.64 : 40.73 = 24.17 : x
  2. Step 2: Convert to fraction form
    29.64/40.73 = 24.17/x
  3. Step 3: Cross multiply
    29.64x = 40.73 × 24.17
  4. Step 4: Simplify right side
    29.64x = 984.53
  5. Step 5: Solve for x
    x = 984.53/29.64
  6. Step 6: Final answer
    x = 33.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.