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Finding the Fourth Proportional to 86.64, 119.54 and 52.14

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Solution

The fourth proportional to 86.64, 119.54 and 52.14 is: 71.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.64 : 119.54 = 52.14 : x
  2. Step 2: Convert to fraction form
    86.64/119.54 = 52.14/x
  3. Step 3: Cross multiply
    86.64x = 119.54 × 52.14
  4. Step 4: Simplify right side
    86.64x = 6,232.55
  5. Step 5: Solve for x
    x = 6,232.55/86.64
  6. Step 6: Final answer
    x = 71.94

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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.