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Finding the Fourth Proportional to 102.77, 153.92 and 82.37

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Solution

The fourth proportional to 102.77, 153.92 and 82.37 is: 123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.77 : 153.92 = 82.37 : x
  2. Step 2: Convert to fraction form
    102.77/153.92 = 82.37/x
  3. Step 3: Cross multiply
    102.77x = 153.92 × 82.37
  4. Step 4: Simplify right side
    102.77x = 12,677.65
  5. Step 5: Solve for x
    x = 12,677.65/102.77
  6. Step 6: Final answer
    x = 123.36

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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.