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Finding the Fourth Proportional to 15.75, 21.75 and 10.01

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Solution

The fourth proportional to 15.75, 21.75 and 10.01 is: 13.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.75 : 21.75 = 10.01 : x
  2. Step 2: Convert to fraction form
    15.75/21.75 = 10.01/x
  3. Step 3: Cross multiply
    15.75x = 21.75 × 10.01
  4. Step 4: Simplify right side
    15.75x = 217.72
  5. Step 5: Solve for x
    x = 217.72/15.75
  6. Step 6: Final answer
    x = 13.82

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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.