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Finding the Fourth Proportional to 83.51, 125.32 and 35.41

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Solution

The fourth proportional to 83.51, 125.32 and 35.41 is: 53.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.51 : 125.32 = 35.41 : x
  2. Step 2: Convert to fraction form
    83.51/125.32 = 35.41/x
  3. Step 3: Cross multiply
    83.51x = 125.32 × 35.41
  4. Step 4: Simplify right side
    83.51x = 4,437.58
  5. Step 5: Solve for x
    x = 4,437.58/83.51
  6. Step 6: Final answer
    x = 53.14

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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.