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Finding the Fourth Proportional to 82.29, 113.55 and 45.45

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Solution

The fourth proportional to 82.29, 113.55 and 45.45 is: 62.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.29 : 113.55 = 45.45 : x
  2. Step 2: Convert to fraction form
    82.29/113.55 = 45.45/x
  3. Step 3: Cross multiply
    82.29x = 113.55 × 45.45
  4. Step 4: Simplify right side
    82.29x = 5,160.59
  5. Step 5: Solve for x
    x = 5,160.59/82.29
  6. Step 6: Final answer
    x = 62.71

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