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Finding the Fourth Proportional to 86.88, 130.08 and 65.20

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Solution

The fourth proportional to 86.88, 130.08 and 65.20 is: 97.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.88 : 130.08 = 65.20 : x
  2. Step 2: Convert to fraction form
    86.88/130.08 = 65.20/x
  3. Step 3: Cross multiply
    86.88x = 130.08 × 65.20
  4. Step 4: Simplify right side
    86.88x = 8,481.22
  5. Step 5: Solve for x
    x = 8,481.22/86.88
  6. Step 6: Final answer
    x = 97.62

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