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Finding the Fourth Proportional to 186.09, 279.09 and 56.09

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Solution

The fourth proportional to 186.09, 279.09 and 56.09 is: 84.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.09 : 279.09 = 56.09 : x
  2. Step 2: Convert to fraction form
    186.09/279.09 = 56.09/x
  3. Step 3: Cross multiply
    186.09x = 279.09 × 56.09
  4. Step 4: Simplify right side
    186.09x = 15,654.16
  5. Step 5: Solve for x
    x = 15,654.16/186.09
  6. Step 6: Final answer
    x = 84.12

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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.