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Finding the Fourth Proportional to 47.48, 70.75 and 46.45

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Solution

The fourth proportional to 47.48, 70.75 and 46.45 is: 69.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.48 : 70.75 = 46.45 : x
  2. Step 2: Convert to fraction form
    47.48/70.75 = 46.45/x
  3. Step 3: Cross multiply
    47.48x = 70.75 × 46.45
  4. Step 4: Simplify right side
    47.48x = 3,286.48
  5. Step 5: Solve for x
    x = 3,286.48/47.48
  6. Step 6: Final answer
    x = 69.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.