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Finding the Fourth Proportional to 105.81, 145.91 and 70.84

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Solution

The fourth proportional to 105.81, 145.91 and 70.84 is: 97.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.81 : 145.91 = 70.84 : x
  2. Step 2: Convert to fraction form
    105.81/145.91 = 70.84/x
  3. Step 3: Cross multiply
    105.81x = 145.91 × 70.84
  4. Step 4: Simplify right side
    105.81x = 10,335.18
  5. Step 5: Solve for x
    x = 10,335.18/105.81
  6. Step 6: Final answer
    x = 97.68

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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.