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Finding the Fourth Proportional to 132.89, 183.24 and 106.67

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Solution

The fourth proportional to 132.89, 183.24 and 106.67 is: 147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.89 : 183.24 = 106.67 : x
  2. Step 2: Convert to fraction form
    132.89/183.24 = 106.67/x
  3. Step 3: Cross multiply
    132.89x = 183.24 × 106.67
  4. Step 4: Simplify right side
    132.89x = 19,545.34
  5. Step 5: Solve for x
    x = 19,545.34/132.89
  6. Step 6: Final answer
    x = 147.08

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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.