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Finding the Fourth Proportional to 132.83, 183.32 and 74.62

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Solution

The fourth proportional to 132.83, 183.32 and 74.62 is: 102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.83 : 183.32 = 74.62 : x
  2. Step 2: Convert to fraction form
    132.83/183.32 = 74.62/x
  3. Step 3: Cross multiply
    132.83x = 183.32 × 74.62
  4. Step 4: Simplify right side
    132.83x = 13,679.98
  5. Step 5: Solve for x
    x = 13,679.98/132.83
  6. Step 6: Final answer
    x = 102.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.