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Finding the Fourth Proportional to 134.42, 185.53 and 82.03

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Solution

The fourth proportional to 134.42, 185.53 and 82.03 is: 113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.42 : 185.53 = 82.03 : x
  2. Step 2: Convert to fraction form
    134.42/185.53 = 82.03/x
  3. Step 3: Cross multiply
    134.42x = 185.53 × 82.03
  4. Step 4: Simplify right side
    134.42x = 15,219.03
  5. Step 5: Solve for x
    x = 15,219.03/134.42
  6. Step 6: Final answer
    x = 113.22

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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.