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Finding the Fourth Proportional to 75.82, 104.43 and 70.05

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Solution

The fourth proportional to 75.82, 104.43 and 70.05 is: 96.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.82 : 104.43 = 70.05 : x
  2. Step 2: Convert to fraction form
    75.82/104.43 = 70.05/x
  3. Step 3: Cross multiply
    75.82x = 104.43 × 70.05
  4. Step 4: Simplify right side
    75.82x = 7,315.32
  5. Step 5: Solve for x
    x = 7,315.32/75.82
  6. Step 6: Final answer
    x = 96.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.