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Finding the Fourth Proportional to 158.70, 219.03 and 93.21

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Solution

The fourth proportional to 158.70, 219.03 and 93.21 is: 128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.70 : 219.03 = 93.21 : x
  2. Step 2: Convert to fraction form
    158.70/219.03 = 93.21/x
  3. Step 3: Cross multiply
    158.70x = 219.03 × 93.21
  4. Step 4: Simplify right side
    158.70x = 20,415.79
  5. Step 5: Solve for x
    x = 20,415.79/158.70
  6. Step 6: Final answer
    x = 128.64

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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.