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Finding the Fourth Proportional to 81.94, 113.08 and 45.10

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Solution

The fourth proportional to 81.94, 113.08 and 45.10 is: 62.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.94 : 113.08 = 45.10 : x
  2. Step 2: Convert to fraction form
    81.94/113.08 = 45.10/x
  3. Step 3: Cross multiply
    81.94x = 113.08 × 45.10
  4. Step 4: Simplify right side
    81.94x = 5,099.91
  5. Step 5: Solve for x
    x = 5,099.91/81.94
  6. Step 6: Final answer
    x = 62.24

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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.