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Finding the Fourth Proportional to 86.42, 119.27 and 53.69

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Solution

The fourth proportional to 86.42, 119.27 and 53.69 is: 74.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.42 : 119.27 = 53.69 : x
  2. Step 2: Convert to fraction form
    86.42/119.27 = 53.69/x
  3. Step 3: Cross multiply
    86.42x = 119.27 × 53.69
  4. Step 4: Simplify right side
    86.42x = 6,403.14
  5. Step 5: Solve for x
    x = 6,403.14/86.42
  6. Step 6: Final answer
    x = 74.09

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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.