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Finding the Fourth Proportional to 47.48, 65.46 and 32.94

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Solution

The fourth proportional to 47.48, 65.46 and 32.94 is: 45.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.48 : 65.46 = 32.94 : x
  2. Step 2: Convert to fraction form
    47.48/65.46 = 32.94/x
  3. Step 3: Cross multiply
    47.48x = 65.46 × 32.94
  4. Step 4: Simplify right side
    47.48x = 2,156.25
  5. Step 5: Solve for x
    x = 2,156.25/47.48
  6. Step 6: Final answer
    x = 45.41

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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.