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Finding the Fourth Proportional to 10.41, 15.75 and 10.38

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Solution

The fourth proportional to 10.41, 15.75 and 10.38 is: 15.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.41 : 15.75 = 10.38 : x
  2. Step 2: Convert to fraction form
    10.41/15.75 = 10.38/x
  3. Step 3: Cross multiply
    10.41x = 15.75 × 10.38
  4. Step 4: Simplify right side
    10.41x = 163.49
  5. Step 5: Solve for x
    x = 163.49/10.41
  6. Step 6: Final answer
    x = 15.70

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