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Finding the Fourth Proportional to 82.57, 113.96 and 53.06

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Solution

The fourth proportional to 82.57, 113.96 and 53.06 is: 73.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.57 : 113.96 = 53.06 : x
  2. Step 2: Convert to fraction form
    82.57/113.96 = 53.06/x
  3. Step 3: Cross multiply
    82.57x = 113.96 × 53.06
  4. Step 4: Simplify right side
    82.57x = 6,045.88
  5. Step 5: Solve for x
    x = 6,045.88/82.57
  6. Step 6: Final answer
    x = 73.23

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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.