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Finding the Fourth Proportional to 82.54, 113.90 and 51.46

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Solution

The fourth proportional to 82.54, 113.90 and 51.46 is: 71.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.54 : 113.90 = 51.46 : x
  2. Step 2: Convert to fraction form
    82.54/113.90 = 51.46/x
  3. Step 3: Cross multiply
    82.54x = 113.90 × 51.46
  4. Step 4: Simplify right side
    82.54x = 5,861.29
  5. Step 5: Solve for x
    x = 5,861.29/82.54
  6. Step 6: Final answer
    x = 71.01

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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.