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Finding the Fourth Proportional to 15.84, 23.78 and 10.50

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Solution

The fourth proportional to 15.84, 23.78 and 10.50 is: 15.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.84 : 23.78 = 10.50 : x
  2. Step 2: Convert to fraction form
    15.84/23.78 = 10.50/x
  3. Step 3: Cross multiply
    15.84x = 23.78 × 10.50
  4. Step 4: Simplify right side
    15.84x = 249.64
  5. Step 5: Solve for x
    x = 249.64/15.84
  6. Step 6: Final answer
    x = 15.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.