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Finding the Fourth Proportional to 47.73, 65.01 and 47.58

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Solution

The fourth proportional to 47.73, 65.01 and 47.58 is: 64.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.73 : 65.01 = 47.58 : x
  2. Step 2: Convert to fraction form
    47.73/65.01 = 47.58/x
  3. Step 3: Cross multiply
    47.73x = 65.01 × 47.58
  4. Step 4: Simplify right side
    47.73x = 3,093.18
  5. Step 5: Solve for x
    x = 3,093.18/47.73
  6. Step 6: Final answer
    x = 64.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.