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Finding the Fourth Proportional to 213.07, 319.54 and 83.02

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Solution

The fourth proportional to 213.07, 319.54 and 83.02 is: 124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.07 : 319.54 = 83.02 : x
  2. Step 2: Convert to fraction form
    213.07/319.54 = 83.02/x
  3. Step 3: Cross multiply
    213.07x = 319.54 × 83.02
  4. Step 4: Simplify right side
    213.07x = 26,528.21
  5. Step 5: Solve for x
    x = 26,528.21/213.07
  6. Step 6: Final answer
    x = 124.50

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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.