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Finding the Fourth Proportional to 133.90, 184.80 and 75.68

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Solution

The fourth proportional to 133.90, 184.80 and 75.68 is: 104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.90 : 184.80 = 75.68 : x
  2. Step 2: Convert to fraction form
    133.90/184.80 = 75.68/x
  3. Step 3: Cross multiply
    133.90x = 184.80 × 75.68
  4. Step 4: Simplify right side
    133.90x = 13,985.66
  5. Step 5: Solve for x
    x = 13,985.66/133.90
  6. Step 6: Final answer
    x = 104.45

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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.