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Finding the Fourth Proportional to 103.78, 155.67 and 31.64

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Solution

The fourth proportional to 103.78, 155.67 and 31.64 is: 47.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.78 : 155.67 = 31.64 : x
  2. Step 2: Convert to fraction form
    103.78/155.67 = 31.64/x
  3. Step 3: Cross multiply
    103.78x = 155.67 × 31.64
  4. Step 4: Simplify right side
    103.78x = 4,925.56
  5. Step 5: Solve for x
    x = 4,925.56/103.78
  6. Step 6: Final answer
    x = 47.46

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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.