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Finding the Fourth Proportional to 82.51, 124.19 and 75.44

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Solution

The fourth proportional to 82.51, 124.19 and 75.44 is: 113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.51 : 124.19 = 75.44 : x
  2. Step 2: Convert to fraction form
    82.51/124.19 = 75.44/x
  3. Step 3: Cross multiply
    82.51x = 124.19 × 75.44
  4. Step 4: Simplify right side
    82.51x = 9,368.89
  5. Step 5: Solve for x
    x = 9,368.89/82.51
  6. Step 6: Final answer
    x = 113.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.