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Finding the Fourth Proportional to 82.42, 113.74 and 53.33

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Solution

The fourth proportional to 82.42, 113.74 and 53.33 is: 73.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.42 : 113.74 = 53.33 : x
  2. Step 2: Convert to fraction form
    82.42/113.74 = 53.33/x
  3. Step 3: Cross multiply
    82.42x = 113.74 × 53.33
  4. Step 4: Simplify right side
    82.42x = 6,065.05
  5. Step 5: Solve for x
    x = 6,065.05/82.42
  6. Step 6: Final answer
    x = 73.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.