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Finding the Fourth Proportional to 82.12, 113.35 and 53.00

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Solution

The fourth proportional to 82.12, 113.35 and 53.00 is: 73.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.12 : 113.35 = 53.00 : x
  2. Step 2: Convert to fraction form
    82.12/113.35 = 53.00/x
  3. Step 3: Cross multiply
    82.12x = 113.35 × 53.00
  4. Step 4: Simplify right side
    82.12x = 6,007.70
  5. Step 5: Solve for x
    x = 6,007.70/82.12
  6. Step 6: Final answer
    x = 73.16

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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.