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Finding the Fourth Proportional to 158.67, 219 and 96.57

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Solution

The fourth proportional to 158.67, 219 and 96.57 is: 133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.67 : 219 = 96.57 : x
  2. Step 2: Convert to fraction form
    158.67/219 = 96.57/x
  3. Step 3: Cross multiply
    158.67x = 219 × 96.57
  4. Step 4: Simplify right side
    158.67x = 21,148.83
  5. Step 5: Solve for x
    x = 21,148.83/158.67
  6. Step 6: Final answer
    x = 133.29

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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.