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Finding the Fourth Proportional to 105.26, 145.14 and 84.48

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Solution

The fourth proportional to 105.26, 145.14 and 84.48 is: 116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.26 : 145.14 = 84.48 : x
  2. Step 2: Convert to fraction form
    105.26/145.14 = 84.48/x
  3. Step 3: Cross multiply
    105.26x = 145.14 × 84.48
  4. Step 4: Simplify right side
    105.26x = 12,261.43
  5. Step 5: Solve for x
    x = 12,261.43/105.26
  6. Step 6: Final answer
    x = 116.49

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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.