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Finding the Fourth Proportional to 81.89, 113 and 45.05

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Solution

The fourth proportional to 81.89, 113 and 45.05 is: 62.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.89 : 113 = 45.05 : x
  2. Step 2: Convert to fraction form
    81.89/113 = 45.05/x
  3. Step 3: Cross multiply
    81.89x = 113 × 45.05
  4. Step 4: Simplify right side
    81.89x = 5,090.09
  5. Step 5: Solve for x
    x = 5,090.09/81.89
  6. Step 6: Final answer
    x = 62.16

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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.