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Finding the Fourth Proportional to 19.61, 27.07 and 13.78

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Solution

The fourth proportional to 19.61, 27.07 and 13.78 is: 19.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.61 : 27.07 = 13.78 : x
  2. Step 2: Convert to fraction form
    19.61/27.07 = 13.78/x
  3. Step 3: Cross multiply
    19.61x = 27.07 × 13.78
  4. Step 4: Simplify right side
    19.61x = 373.10
  5. Step 5: Solve for x
    x = 373.10/19.61
  6. Step 6: Final answer
    x = 19.03

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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.