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Finding the Fourth Proportional to 46.48, 70.14 and 44.56

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Solution

The fourth proportional to 46.48, 70.14 and 44.56 is: 67.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.48 : 70.14 = 44.56 : x
  2. Step 2: Convert to fraction form
    46.48/70.14 = 44.56/x
  3. Step 3: Cross multiply
    46.48x = 70.14 × 44.56
  4. Step 4: Simplify right side
    46.48x = 3,125.44
  5. Step 5: Solve for x
    x = 3,125.44/46.48
  6. Step 6: Final answer
    x = 67.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.