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Finding the Fourth Proportional to 158.74, 219.07 and 109.64

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Solution

The fourth proportional to 158.74, 219.07 and 109.64 is: 151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.74 : 219.07 = 109.64 : x
  2. Step 2: Convert to fraction form
    158.74/219.07 = 109.64/x
  3. Step 3: Cross multiply
    158.74x = 219.07 × 109.64
  4. Step 4: Simplify right side
    158.74x = 24,018.83
  5. Step 5: Solve for x
    x = 24,018.83/158.74
  6. Step 6: Final answer
    x = 151.31

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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.