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Finding the Fourth Proportional to 158.37, 218.49 and 100.14

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Solution

The fourth proportional to 158.37, 218.49 and 100.14 is: 138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.37 : 218.49 = 100.14 : x
  2. Step 2: Convert to fraction form
    158.37/218.49 = 100.14/x
  3. Step 3: Cross multiply
    158.37x = 218.49 × 100.14
  4. Step 4: Simplify right side
    158.37x = 21,879.59
  5. Step 5: Solve for x
    x = 21,879.59/158.37
  6. Step 6: Final answer
    x = 138.15

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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.