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Finding the Fourth Proportional to 47.64, 71.12 and 44.00

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Solution

The fourth proportional to 47.64, 71.12 and 44.00 is: 65.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.64 : 71.12 = 44.00 : x
  2. Step 2: Convert to fraction form
    47.64/71.12 = 44.00/x
  3. Step 3: Cross multiply
    47.64x = 71.12 × 44.00
  4. Step 4: Simplify right side
    47.64x = 3,129.30
  5. Step 5: Solve for x
    x = 3,129.30/47.64
  6. Step 6: Final answer
    x = 65.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.