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Finding the Fourth Proportional to 29.63, 40.91 and 23.19

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Solution

The fourth proportional to 29.63, 40.91 and 23.19 is: 32.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.63 : 40.91 = 23.19 : x
  2. Step 2: Convert to fraction form
    29.63/40.91 = 23.19/x
  3. Step 3: Cross multiply
    29.63x = 40.91 × 23.19
  4. Step 4: Simplify right side
    29.63x = 948.70
  5. Step 5: Solve for x
    x = 948.70/29.63
  6. Step 6: Final answer
    x = 32.02

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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.