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Finding the Fourth Proportional to 133.02, 183.36 and 106.74

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Solution

The fourth proportional to 133.02, 183.36 and 106.74 is: 147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.02 : 183.36 = 106.74 : x
  2. Step 2: Convert to fraction form
    133.02/183.36 = 106.74/x
  3. Step 3: Cross multiply
    133.02x = 183.36 × 106.74
  4. Step 4: Simplify right side
    133.02x = 19,571.85
  5. Step 5: Solve for x
    x = 19,571.85/133.02
  6. Step 6: Final answer
    x = 147.13

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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.