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Finding the Fourth Proportional to 82.14, 122.55 and 73.02

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Solution

The fourth proportional to 82.14, 122.55 and 73.02 is: 108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.14 : 122.55 = 73.02 : x
  2. Step 2: Convert to fraction form
    82.14/122.55 = 73.02/x
  3. Step 3: Cross multiply
    82.14x = 122.55 × 73.02
  4. Step 4: Simplify right side
    82.14x = 8,948.60
  5. Step 5: Solve for x
    x = 8,948.60/82.14
  6. Step 6: Final answer
    x = 108.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.