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Finding the Fourth Proportional to 71.16, 106.64 and 30.55

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Solution

The fourth proportional to 71.16, 106.64 and 30.55 is: 45.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.16 : 106.64 = 30.55 : x
  2. Step 2: Convert to fraction form
    71.16/106.64 = 30.55/x
  3. Step 3: Cross multiply
    71.16x = 106.64 × 30.55
  4. Step 4: Simplify right side
    71.16x = 3,257.85
  5. Step 5: Solve for x
    x = 3,257.85/71.16
  6. Step 6: Final answer
    x = 45.78

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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.