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Finding the Fourth Proportional to 90.70, 124.43 and 82.60

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Solution

The fourth proportional to 90.70, 124.43 and 82.60 is: 113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.70 : 124.43 = 82.60 : x
  2. Step 2: Convert to fraction form
    90.70/124.43 = 82.60/x
  3. Step 3: Cross multiply
    90.70x = 124.43 × 82.60
  4. Step 4: Simplify right side
    90.70x = 10,277.92
  5. Step 5: Solve for x
    x = 10,277.92/90.70
  6. Step 6: Final answer
    x = 113.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.