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Finding the Fourth Proportional to 86.68, 119.49 and 59.05

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Solution

The fourth proportional to 86.68, 119.49 and 59.05 is: 81.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.68 : 119.49 = 59.05 : x
  2. Step 2: Convert to fraction form
    86.68/119.49 = 59.05/x
  3. Step 3: Cross multiply
    86.68x = 119.49 × 59.05
  4. Step 4: Simplify right side
    86.68x = 7,055.29
  5. Step 5: Solve for x
    x = 7,055.29/86.68
  6. Step 6: Final answer
    x = 81.40

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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.