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Finding the Fourth Proportional to 29.75, 40.97 and 23.58

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Solution

The fourth proportional to 29.75, 40.97 and 23.58 is: 32.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.75 : 40.97 = 23.58 : x
  2. Step 2: Convert to fraction form
    29.75/40.97 = 23.58/x
  3. Step 3: Cross multiply
    29.75x = 40.97 × 23.58
  4. Step 4: Simplify right side
    29.75x = 965.95
  5. Step 5: Solve for x
    x = 965.95/29.75
  6. Step 6: Final answer
    x = 32.47

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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.