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Finding the Fourth Proportional to 83.51, 124.70 and 73.25

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Solution

The fourth proportional to 83.51, 124.70 and 73.25 is: 109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.51 : 124.70 = 73.25 : x
  2. Step 2: Convert to fraction form
    83.51/124.70 = 73.25/x
  3. Step 3: Cross multiply
    83.51x = 124.70 × 73.25
  4. Step 4: Simplify right side
    83.51x = 9,133.29
  5. Step 5: Solve for x
    x = 9,133.29/83.51
  6. Step 6: Final answer
    x = 109.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.