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Finding the Fourth Proportional to 47.65, 71.53 and 30.48

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Solution

The fourth proportional to 47.65, 71.53 and 30.48 is: 45.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.65 : 71.53 = 30.48 : x
  2. Step 2: Convert to fraction form
    47.65/71.53 = 30.48/x
  3. Step 3: Cross multiply
    47.65x = 71.53 × 30.48
  4. Step 4: Simplify right side
    47.65x = 2,180.06
  5. Step 5: Solve for x
    x = 2,180.06/47.65
  6. Step 6: Final answer
    x = 45.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.