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Finding the Fourth Proportional to 19.70, 29.52 and 19.05

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Solution

The fourth proportional to 19.70, 29.52 and 19.05 is: 28.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.70 : 29.52 = 19.05 : x
  2. Step 2: Convert to fraction form
    19.70/29.52 = 19.05/x
  3. Step 3: Cross multiply
    19.70x = 29.52 × 19.05
  4. Step 4: Simplify right side
    19.70x = 562.36
  5. Step 5: Solve for x
    x = 562.36/19.70
  6. Step 6: Final answer
    x = 28.55

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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.