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Finding the Fourth Proportional to 82.14, 113.38 and 53.07

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Solution

The fourth proportional to 82.14, 113.38 and 53.07 is: 73.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.14 : 113.38 = 53.07 : x
  2. Step 2: Convert to fraction form
    82.14/113.38 = 53.07/x
  3. Step 3: Cross multiply
    82.14x = 113.38 × 53.07
  4. Step 4: Simplify right side
    82.14x = 6,017.08
  5. Step 5: Solve for x
    x = 6,017.08/82.14
  6. Step 6: Final answer
    x = 73.25

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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.