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Finding the Fourth Proportional to 124.94, 186.53 and 123.66

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Solution

The fourth proportional to 124.94, 186.53 and 123.66 is: 184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.94 : 186.53 = 123.66 : x
  2. Step 2: Convert to fraction form
    124.94/186.53 = 123.66/x
  3. Step 3: Cross multiply
    124.94x = 186.53 × 123.66
  4. Step 4: Simplify right side
    124.94x = 23,065.68
  5. Step 5: Solve for x
    x = 23,065.68/124.94
  6. Step 6: Final answer
    x = 184.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.