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Finding the Fourth Proportional to 19.93, 27.53 and 19.84

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Solution

The fourth proportional to 19.93, 27.53 and 19.84 is: 27.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.93 : 27.53 = 19.84 : x
  2. Step 2: Convert to fraction form
    19.93/27.53 = 19.84/x
  3. Step 3: Cross multiply
    19.93x = 27.53 × 19.84
  4. Step 4: Simplify right side
    19.93x = 546.20
  5. Step 5: Solve for x
    x = 546.20/19.93
  6. Step 6: Final answer
    x = 27.41

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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.