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Finding the Fourth Proportional to 123.84, 186.51 and 112.77

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Solution

The fourth proportional to 123.84, 186.51 and 112.77 is: 169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.84 : 186.51 = 112.77 : x
  2. Step 2: Convert to fraction form
    123.84/186.51 = 112.77/x
  3. Step 3: Cross multiply
    123.84x = 186.51 × 112.77
  4. Step 4: Simplify right side
    123.84x = 21,032.73
  5. Step 5: Solve for x
    x = 21,032.73/123.84
  6. Step 6: Final answer
    x = 169.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.