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Finding the Fourth Proportional to 132.63, 183.03 and 75.85

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Solution

The fourth proportional to 132.63, 183.03 and 75.85 is: 104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.63 : 183.03 = 75.85 : x
  2. Step 2: Convert to fraction form
    132.63/183.03 = 75.85/x
  3. Step 3: Cross multiply
    132.63x = 183.03 × 75.85
  4. Step 4: Simplify right side
    132.63x = 13,882.83
  5. Step 5: Solve for x
    x = 13,882.83/132.63
  6. Step 6: Final answer
    x = 104.67

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Why These Related Problems?

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