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Finding the Fourth Proportional to 47.62, 65.78 and 47.08

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Solution

The fourth proportional to 47.62, 65.78 and 47.08 is: 65.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.62 : 65.78 = 47.08 : x
  2. Step 2: Convert to fraction form
    47.62/65.78 = 47.08/x
  3. Step 3: Cross multiply
    47.62x = 65.78 × 47.08
  4. Step 4: Simplify right side
    47.62x = 3,096.92
  5. Step 5: Solve for x
    x = 3,096.92/47.62
  6. Step 6: Final answer
    x = 65.03

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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.