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Finding the Fourth Proportional to 82.44, 123.66 and 52.07

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Solution

The fourth proportional to 82.44, 123.66 and 52.07 is: 78.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.44 : 123.66 = 52.07 : x
  2. Step 2: Convert to fraction form
    82.44/123.66 = 52.07/x
  3. Step 3: Cross multiply
    82.44x = 123.66 × 52.07
  4. Step 4: Simplify right side
    82.44x = 6,438.36
  5. Step 5: Solve for x
    x = 6,438.36/82.44
  6. Step 6: Final answer
    x = 78.10

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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.