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Finding the Fourth Proportional to 19.40, 29.10 and 13.00

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Solution

The fourth proportional to 19.40, 29.10 and 13.00 is: 19.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.40 : 29.10 = 13.00 : x
  2. Step 2: Convert to fraction form
    19.40/29.10 = 13.00/x
  3. Step 3: Cross multiply
    19.40x = 29.10 × 13.00
  4. Step 4: Simplify right side
    19.40x = 378.37
  5. Step 5: Solve for x
    x = 378.37/19.40
  6. Step 6: Final answer
    x = 19.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.