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Finding the Fourth Proportional to 185.60, 277.90 and 103.12

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Solution

The fourth proportional to 185.60, 277.90 and 103.12 is: 154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.60 : 277.90 = 103.12 : x
  2. Step 2: Convert to fraction form
    185.60/277.90 = 103.12/x
  3. Step 3: Cross multiply
    185.60x = 277.90 × 103.12
  4. Step 4: Simplify right side
    185.60x = 28,657.05
  5. Step 5: Solve for x
    x = 28,657.05/185.60
  6. Step 6: Final answer
    x = 154.40

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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.