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Finding the Fourth Proportional to 15.78, 21.74 and 14.04

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Solution

The fourth proportional to 15.78, 21.74 and 14.04 is: 19.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.78 : 21.74 = 14.04 : x
  2. Step 2: Convert to fraction form
    15.78/21.74 = 14.04/x
  3. Step 3: Cross multiply
    15.78x = 21.74 × 14.04
  4. Step 4: Simplify right side
    15.78x = 305.23
  5. Step 5: Solve for x
    x = 305.23/15.78
  6. Step 6: Final answer
    x = 19.34

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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.