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Finding the Fourth Proportional to 107.42, 161.05 and 53.35

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Solution

The fourth proportional to 107.42, 161.05 and 53.35 is: 79.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.42 : 161.05 = 53.35 : x
  2. Step 2: Convert to fraction form
    107.42/161.05 = 53.35/x
  3. Step 3: Cross multiply
    107.42x = 161.05 × 53.35
  4. Step 4: Simplify right side
    107.42x = 8,591.48
  5. Step 5: Solve for x
    x = 8,591.48/107.42
  6. Step 6: Final answer
    x = 79.98

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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.