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Finding the Fourth Proportional to 82.02, 113.02 and 54.35

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Solution

The fourth proportional to 82.02, 113.02 and 54.35 is: 74.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.02 : 113.02 = 54.35 : x
  2. Step 2: Convert to fraction form
    82.02/113.02 = 54.35/x
  3. Step 3: Cross multiply
    82.02x = 113.02 × 54.35
  4. Step 4: Simplify right side
    82.02x = 6,142.64
  5. Step 5: Solve for x
    x = 6,142.64/82.02
  6. Step 6: Final answer
    x = 74.89

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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.