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Finding the Fourth Proportional to 16.56, 24.93 and 15.78

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Solution

The fourth proportional to 16.56, 24.93 and 15.78 is: 23.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.56 : 24.93 = 15.78 : x
  2. Step 2: Convert to fraction form
    16.56/24.93 = 15.78/x
  3. Step 3: Cross multiply
    16.56x = 24.93 × 15.78
  4. Step 4: Simplify right side
    16.56x = 393.40
  5. Step 5: Solve for x
    x = 393.40/16.56
  6. Step 6: Final answer
    x = 23.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.