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Finding the Fourth Proportional to 82.54, 123.84 and 76.60

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Solution

The fourth proportional to 82.54, 123.84 and 76.60 is: 114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.54 : 123.84 = 76.60 : x
  2. Step 2: Convert to fraction form
    82.54/123.84 = 76.60/x
  3. Step 3: Cross multiply
    82.54x = 123.84 × 76.60
  4. Step 4: Simplify right side
    82.54x = 9,486.14
  5. Step 5: Solve for x
    x = 9,486.14/82.54
  6. Step 6: Final answer
    x = 114.93

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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.