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Finding the Fourth Proportional to 86.54, 119.41 and 64.46

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Solution

The fourth proportional to 86.54, 119.41 and 64.46 is: 88.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.54 : 119.41 = 64.46 : x
  2. Step 2: Convert to fraction form
    86.54/119.41 = 64.46/x
  3. Step 3: Cross multiply
    86.54x = 119.41 × 64.46
  4. Step 4: Simplify right side
    86.54x = 7,697.31
  5. Step 5: Solve for x
    x = 7,697.31/86.54
  6. Step 6: Final answer
    x = 88.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.