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Finding the Fourth Proportional to 86.99, 130.20 and 75.11

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Solution

The fourth proportional to 86.99, 130.20 and 75.11 is: 112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.99 : 130.20 = 75.11 : x
  2. Step 2: Convert to fraction form
    86.99/130.20 = 75.11/x
  3. Step 3: Cross multiply
    86.99x = 130.20 × 75.11
  4. Step 4: Simplify right side
    86.99x = 9,778.67
  5. Step 5: Solve for x
    x = 9,778.67/86.99
  6. Step 6: Final answer
    x = 112.42

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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.