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Finding the Fourth Proportional to 86.24, 119.05 and 64.08

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Solution

The fourth proportional to 86.24, 119.05 and 64.08 is: 88.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.24 : 119.05 = 64.08 : x
  2. Step 2: Convert to fraction form
    86.24/119.05 = 64.08/x
  3. Step 3: Cross multiply
    86.24x = 119.05 × 64.08
  4. Step 4: Simplify right side
    86.24x = 7,628.56
  5. Step 5: Solve for x
    x = 7,628.56/86.24
  6. Step 6: Final answer
    x = 88.45

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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.