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Finding the Fourth Proportional to 133.94, 184.84 and 75.74

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Solution

The fourth proportional to 133.94, 184.84 and 75.74 is: 104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.94 : 184.84 = 75.74 : x
  2. Step 2: Convert to fraction form
    133.94/184.84 = 75.74/x
  3. Step 3: Cross multiply
    133.94x = 184.84 × 75.74
  4. Step 4: Simplify right side
    133.94x = 13,999.78
  5. Step 5: Solve for x
    x = 13,999.78/133.94
  6. Step 6: Final answer
    x = 104.52

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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.