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Finding the Fourth Proportional to 47.48, 65.34 and 42.02

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Solution

The fourth proportional to 47.48, 65.34 and 42.02 is: 57.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.48 : 65.34 = 42.02 : x
  2. Step 2: Convert to fraction form
    47.48/65.34 = 42.02/x
  3. Step 3: Cross multiply
    47.48x = 65.34 × 42.02
  4. Step 4: Simplify right side
    47.48x = 2,745.59
  5. Step 5: Solve for x
    x = 2,745.59/47.48
  6. Step 6: Final answer
    x = 57.83

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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.