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Finding the Fourth Proportional to 15.78, 21.76 and 13.47

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Solution

The fourth proportional to 15.78, 21.76 and 13.47 is: 18.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.78 : 21.76 = 13.47 : x
  2. Step 2: Convert to fraction form
    15.78/21.76 = 13.47/x
  3. Step 3: Cross multiply
    15.78x = 21.76 × 13.47
  4. Step 4: Simplify right side
    15.78x = 293.03
  5. Step 5: Solve for x
    x = 293.03/15.78
  6. Step 6: Final answer
    x = 18.57

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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.