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Finding the Fourth Proportional to 67.81, 101.58 and 53.30

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Solution

The fourth proportional to 67.81, 101.58 and 53.30 is: 79.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.81 : 101.58 = 53.30 : x
  2. Step 2: Convert to fraction form
    67.81/101.58 = 53.30/x
  3. Step 3: Cross multiply
    67.81x = 101.58 × 53.30
  4. Step 4: Simplify right side
    67.81x = 5,414.02
  5. Step 5: Solve for x
    x = 5,414.02/67.81
  6. Step 6: Final answer
    x = 79.84

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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.