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Finding the Fourth Proportional to 124.37, 186.19 and 102.62

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Solution

The fourth proportional to 124.37, 186.19 and 102.62 is: 153.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.37 : 186.19 = 102.62 : x
  2. Step 2: Convert to fraction form
    124.37/186.19 = 102.62/x
  3. Step 3: Cross multiply
    124.37x = 186.19 × 102.62
  4. Step 4: Simplify right side
    124.37x = 19,105.63
  5. Step 5: Solve for x
    x = 19,105.63/124.37
  6. Step 6: Final answer
    x = 153.62

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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.