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Finding the Fourth Proportional to 105.04, 158.14 and 82.48

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Solution

The fourth proportional to 105.04, 158.14 and 82.48 is: 124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.04 : 158.14 = 82.48 : x
  2. Step 2: Convert to fraction form
    105.04/158.14 = 82.48/x
  3. Step 3: Cross multiply
    105.04x = 158.14 × 82.48
  4. Step 4: Simplify right side
    105.04x = 13,043.39
  5. Step 5: Solve for x
    x = 13,043.39/105.04
  6. Step 6: Final answer
    x = 124.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.