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Finding the Fourth Proportional to 158.31, 218.54 and 106.59

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Solution

The fourth proportional to 158.31, 218.54 and 106.59 is: 147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.31 : 218.54 = 106.59 : x
  2. Step 2: Convert to fraction form
    158.31/218.54 = 106.59/x
  3. Step 3: Cross multiply
    158.31x = 218.54 × 106.59
  4. Step 4: Simplify right side
    158.31x = 23,293.65
  5. Step 5: Solve for x
    x = 23,293.65/158.31
  6. Step 6: Final answer
    x = 147.14

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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.