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Finding the Fourth Proportional to 158.36, 218.51 and 106.01

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Solution

The fourth proportional to 158.36, 218.51 and 106.01 is: 146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.36 : 218.51 = 106.01 : x
  2. Step 2: Convert to fraction form
    158.36/218.51 = 106.01/x
  3. Step 3: Cross multiply
    158.36x = 218.51 × 106.01
  4. Step 4: Simplify right side
    158.36x = 23,163.84
  5. Step 5: Solve for x
    x = 23,163.84/158.36
  6. Step 6: Final answer
    x = 146.28

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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.