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Finding the Fourth Proportional to 47.65, 64.89 and 47.38

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Solution

The fourth proportional to 47.65, 64.89 and 47.38 is: 64.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.65 : 64.89 = 47.38 : x
  2. Step 2: Convert to fraction form
    47.65/64.89 = 47.38/x
  3. Step 3: Cross multiply
    47.65x = 64.89 × 47.38
  4. Step 4: Simplify right side
    47.65x = 3,074.49
  5. Step 5: Solve for x
    x = 3,074.49/47.65
  6. Step 6: Final answer
    x = 64.52

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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.