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Finding the Fourth Proportional to 95.20, 130.73 and 83.45

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Solution

The fourth proportional to 95.20, 130.73 and 83.45 is: 114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.20 : 130.73 = 83.45 : x
  2. Step 2: Convert to fraction form
    95.20/130.73 = 83.45/x
  3. Step 3: Cross multiply
    95.20x = 130.73 × 83.45
  4. Step 4: Simplify right side
    95.20x = 10,909.33
  5. Step 5: Solve for x
    x = 10,909.33/95.20
  6. Step 6: Final answer
    x = 114.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.