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Finding the Fourth Proportional to 286.42, 429.66 and 103.77

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Solution

The fourth proportional to 286.42, 429.66 and 103.77 is: 155.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.42 : 429.66 = 103.77 : x
  2. Step 2: Convert to fraction form
    286.42/429.66 = 103.77/x
  3. Step 3: Cross multiply
    286.42x = 429.66 × 103.77
  4. Step 4: Simplify right side
    286.42x = 44,585.30
  5. Step 5: Solve for x
    x = 44,585.30/286.42
  6. Step 6: Final answer
    x = 155.67

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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.