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Finding the Fourth Proportional to 82.10, 122.62 and 73.10

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Solution

The fourth proportional to 82.10, 122.62 and 73.10 is: 109.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.10 : 122.62 = 73.10 : x
  2. Step 2: Convert to fraction form
    82.10/122.62 = 73.10/x
  3. Step 3: Cross multiply
    82.10x = 122.62 × 73.10
  4. Step 4: Simplify right side
    82.10x = 8,963.52
  5. Step 5: Solve for x
    x = 8,963.52/82.10
  6. Step 6: Final answer
    x = 109.18

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