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Finding the Fourth Proportional to 158.48, 218.56 and 100.24

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Solution

The fourth proportional to 158.48, 218.56 and 100.24 is: 138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.48 : 218.56 = 100.24 : x
  2. Step 2: Convert to fraction form
    158.48/218.56 = 100.24/x
  3. Step 3: Cross multiply
    158.48x = 218.56 × 100.24
  4. Step 4: Simplify right side
    158.48x = 21,908.45
  5. Step 5: Solve for x
    x = 21,908.45/158.48
  6. Step 6: Final answer
    x = 138.24

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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.