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Finding the Fourth Proportional to 124.29, 186.44 and 52.09

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Solution

The fourth proportional to 124.29, 186.44 and 52.09 is: 78.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.29 : 186.44 = 52.09 : x
  2. Step 2: Convert to fraction form
    124.29/186.44 = 52.09/x
  3. Step 3: Cross multiply
    124.29x = 186.44 × 52.09
  4. Step 4: Simplify right side
    124.29x = 9,711.66
  5. Step 5: Solve for x
    x = 9,711.66/124.29
  6. Step 6: Final answer
    x = 78.14

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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.