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Finding the Fourth Proportional to 86.13, 128.90 and 53.62

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Solution

The fourth proportional to 86.13, 128.90 and 53.62 is: 80.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.13 : 128.90 = 53.62 : x
  2. Step 2: Convert to fraction form
    86.13/128.90 = 53.62/x
  3. Step 3: Cross multiply
    86.13x = 128.90 × 53.62
  4. Step 4: Simplify right side
    86.13x = 6,911.62
  5. Step 5: Solve for x
    x = 6,911.62/86.13
  6. Step 6: Final answer
    x = 80.25

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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.