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Finding the Fourth Proportional to 82.19, 113.41 and 45.34

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Solution

The fourth proportional to 82.19, 113.41 and 45.34 is: 62.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.19 : 113.41 = 45.34 : x
  2. Step 2: Convert to fraction form
    82.19/113.41 = 45.34/x
  3. Step 3: Cross multiply
    82.19x = 113.41 × 45.34
  4. Step 4: Simplify right side
    82.19x = 5,142.12
  5. Step 5: Solve for x
    x = 5,142.12/82.19
  6. Step 6: Final answer
    x = 62.57

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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.