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Finding the Fourth Proportional to 47.60, 65.69 and 25.77

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Solution

The fourth proportional to 47.60, 65.69 and 25.77 is: 35.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.60 : 65.69 = 25.77 : x
  2. Step 2: Convert to fraction form
    47.60/65.69 = 25.77/x
  3. Step 3: Cross multiply
    47.60x = 65.69 × 25.77
  4. Step 4: Simplify right side
    47.60x = 1,692.80
  5. Step 5: Solve for x
    x = 1,692.80/47.60
  6. Step 6: Final answer
    x = 35.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.