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Finding the Fourth Proportional to 158.83, 219.20 and 96.64

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Solution

The fourth proportional to 158.83, 219.20 and 96.64 is: 133.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.83 : 219.20 = 96.64 : x
  2. Step 2: Convert to fraction form
    158.83/219.20 = 96.64/x
  3. Step 3: Cross multiply
    158.83x = 219.20 × 96.64
  4. Step 4: Simplify right side
    158.83x = 21,182.46
  5. Step 5: Solve for x
    x = 21,182.46/158.83
  6. Step 6: Final answer
    x = 133.37

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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.