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Finding the Fourth Proportional to 101.70, 152.46 and 40.83

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Solution

The fourth proportional to 101.70, 152.46 and 40.83 is: 61.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.70 : 152.46 = 40.83 : x
  2. Step 2: Convert to fraction form
    101.70/152.46 = 40.83/x
  3. Step 3: Cross multiply
    101.70x = 152.46 × 40.83
  4. Step 4: Simplify right side
    101.70x = 6,224.94
  5. Step 5: Solve for x
    x = 6,224.94/101.70
  6. Step 6: Final answer
    x = 61.21

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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.