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Finding the Fourth Proportional to 82.06, 123 and 59.20

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Solution

The fourth proportional to 82.06, 123 and 59.20 is: 88.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.06 : 123 = 59.20 : x
  2. Step 2: Convert to fraction form
    82.06/123 = 59.20/x
  3. Step 3: Cross multiply
    82.06x = 123 × 59.20
  4. Step 4: Simplify right side
    82.06x = 7,281.60
  5. Step 5: Solve for x
    x = 7,281.60/82.06
  6. Step 6: Final answer
    x = 88.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.