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Finding the Fourth Proportional to 10.05, 14.94 and 9.95

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Solution

The fourth proportional to 10.05, 14.94 and 9.95 is: 14.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.05 : 14.94 = 9.95 : x
  2. Step 2: Convert to fraction form
    10.05/14.94 = 9.95/x
  3. Step 3: Cross multiply
    10.05x = 14.94 × 9.95
  4. Step 4: Simplify right side
    10.05x = 148.58
  5. Step 5: Solve for x
    x = 148.58/10.05
  6. Step 6: Final answer
    x = 14.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.