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Finding the Fourth Proportional to 86.31, 119.01 and 53.52

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Solution

The fourth proportional to 86.31, 119.01 and 53.52 is: 73.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.31 : 119.01 = 53.52 : x
  2. Step 2: Convert to fraction form
    86.31/119.01 = 53.52/x
  3. Step 3: Cross multiply
    86.31x = 119.01 × 53.52
  4. Step 4: Simplify right side
    86.31x = 6,369.42
  5. Step 5: Solve for x
    x = 6,369.42/86.31
  6. Step 6: Final answer
    x = 73.80

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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.