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Finding the Fourth Proportional to 124.63, 186.58 and 123.72

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Solution

The fourth proportional to 124.63, 186.58 and 123.72 is: 185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.63 : 186.58 = 123.72 : x
  2. Step 2: Convert to fraction form
    124.63/186.58 = 123.72/x
  3. Step 3: Cross multiply
    124.63x = 186.58 × 123.72
  4. Step 4: Simplify right side
    124.63x = 23,083.68
  5. Step 5: Solve for x
    x = 23,083.68/124.63
  6. Step 6: Final answer
    x = 185.22

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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.