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Finding the Fourth Proportional to 82.13, 113.34 and 53.07

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Solution

The fourth proportional to 82.13, 113.34 and 53.07 is: 73.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.13 : 113.34 = 53.07 : x
  2. Step 2: Convert to fraction form
    82.13/113.34 = 53.07/x
  3. Step 3: Cross multiply
    82.13x = 113.34 × 53.07
  4. Step 4: Simplify right side
    82.13x = 6,014.95
  5. Step 5: Solve for x
    x = 6,014.95/82.13
  6. Step 6: Final answer
    x = 73.24

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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.