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Finding the Fourth Proportional to 86.36, 129.36 and 66.02

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Solution

The fourth proportional to 86.36, 129.36 and 66.02 is: 98.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.36 : 129.36 = 66.02 : x
  2. Step 2: Convert to fraction form
    86.36/129.36 = 66.02/x
  3. Step 3: Cross multiply
    86.36x = 129.36 × 66.02
  4. Step 4: Simplify right side
    86.36x = 8,540.35
  5. Step 5: Solve for x
    x = 8,540.35/86.36
  6. Step 6: Final answer
    x = 98.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.