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Finding the Fourth Proportional to 132.83, 199.37 and 71.99

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Solution

The fourth proportional to 132.83, 199.37 and 71.99 is: 108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.83 : 199.37 = 71.99 : x
  2. Step 2: Convert to fraction form
    132.83/199.37 = 71.99/x
  3. Step 3: Cross multiply
    132.83x = 199.37 × 71.99
  4. Step 4: Simplify right side
    132.83x = 14,351.83
  5. Step 5: Solve for x
    x = 14,351.83/132.83
  6. Step 6: Final answer
    x = 108.05

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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.