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Finding the Fourth Proportional to 107.84, 161.36 and 64.53

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Solution

The fourth proportional to 107.84, 161.36 and 64.53 is: 96.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.84 : 161.36 = 64.53 : x
  2. Step 2: Convert to fraction form
    107.84/161.36 = 64.53/x
  3. Step 3: Cross multiply
    107.84x = 161.36 × 64.53
  4. Step 4: Simplify right side
    107.84x = 10,412.56
  5. Step 5: Solve for x
    x = 10,412.56/107.84
  6. Step 6: Final answer
    x = 96.56

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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.