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Finding the Fourth Proportional to 70.68, 105.95 and 53.51

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Solution

The fourth proportional to 70.68, 105.95 and 53.51 is: 80.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.68 : 105.95 = 53.51 : x
  2. Step 2: Convert to fraction form
    70.68/105.95 = 53.51/x
  3. Step 3: Cross multiply
    70.68x = 105.95 × 53.51
  4. Step 4: Simplify right side
    70.68x = 5,669.38
  5. Step 5: Solve for x
    x = 5,669.38/70.68
  6. Step 6: Final answer
    x = 80.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.