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Finding the Fourth Proportional to 82.61, 123.84 and 52.09

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Solution

The fourth proportional to 82.61, 123.84 and 52.09 is: 78.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.61 : 123.84 = 52.09 : x
  2. Step 2: Convert to fraction form
    82.61/123.84 = 52.09/x
  3. Step 3: Cross multiply
    82.61x = 123.84 × 52.09
  4. Step 4: Simplify right side
    82.61x = 6,450.21
  5. Step 5: Solve for x
    x = 6,450.21/82.61
  6. Step 6: Final answer
    x = 78.08

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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.