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Finding the Fourth Proportional to 47.85, 71.64 and 44.07

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Solution

The fourth proportional to 47.85, 71.64 and 44.07 is: 65.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.85 : 71.64 = 44.07 : x
  2. Step 2: Convert to fraction form
    47.85/71.64 = 44.07/x
  3. Step 3: Cross multiply
    47.85x = 71.64 × 44.07
  4. Step 4: Simplify right side
    47.85x = 3,157.17
  5. Step 5: Solve for x
    x = 3,157.17/47.85
  6. Step 6: Final answer
    x = 65.98

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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.