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Finding the Fourth Proportional to 83.09, 124.62 and 37.45

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Solution

The fourth proportional to 83.09, 124.62 and 37.45 is: 56.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.09 : 124.62 = 37.45 : x
  2. Step 2: Convert to fraction form
    83.09/124.62 = 37.45/x
  3. Step 3: Cross multiply
    83.09x = 124.62 × 37.45
  4. Step 4: Simplify right side
    83.09x = 4,667.02
  5. Step 5: Solve for x
    x = 4,667.02/83.09
  6. Step 6: Final answer
    x = 56.17

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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.