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Finding the Fourth Proportional to 158.74, 219.02 and 96.54

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Solution

The fourth proportional to 158.74, 219.02 and 96.54 is: 133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.74 : 219.02 = 96.54 : x
  2. Step 2: Convert to fraction form
    158.74/219.02 = 96.54/x
  3. Step 3: Cross multiply
    158.74x = 219.02 × 96.54
  4. Step 4: Simplify right side
    158.74x = 21,144.19
  5. Step 5: Solve for x
    x = 21,144.19/158.74
  6. Step 6: Final answer
    x = 133.20

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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.