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Finding the Fourth Proportional to 105.70, 158.33 and 100.02

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Solution

The fourth proportional to 105.70, 158.33 and 100.02 is: 149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.70 : 158.33 = 100.02 : x
  2. Step 2: Convert to fraction form
    105.70/158.33 = 100.02/x
  3. Step 3: Cross multiply
    105.70x = 158.33 × 100.02
  4. Step 4: Simplify right side
    105.70x = 15,836.17
  5. Step 5: Solve for x
    x = 15,836.17/105.70
  6. Step 6: Final answer
    x = 149.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.