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Finding the Fourth Proportional to 29.70, 40.97 and 23.63

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Solution

The fourth proportional to 29.70, 40.97 and 23.63 is: 32.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.70 : 40.97 = 23.63 : x
  2. Step 2: Convert to fraction form
    29.70/40.97 = 23.63/x
  3. Step 3: Cross multiply
    29.70x = 40.97 × 23.63
  4. Step 4: Simplify right side
    29.70x = 967.98
  5. Step 5: Solve for x
    x = 967.98/29.70
  6. Step 6: Final answer
    x = 32.59

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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.