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Finding the Fourth Proportional to 29.37, 40.49 and 19.00

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Solution

The fourth proportional to 29.37, 40.49 and 19.00 is: 26.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.37 : 40.49 = 19.00 : x
  2. Step 2: Convert to fraction form
    29.37/40.49 = 19.00/x
  3. Step 3: Cross multiply
    29.37x = 40.49 × 19.00
  4. Step 4: Simplify right side
    29.37x = 769.52
  5. Step 5: Solve for x
    x = 769.52/29.37
  6. Step 6: Final answer
    x = 26.20

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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.