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Finding the Fourth Proportional to 51.60, 70.96 and 46.34

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Solution

The fourth proportional to 51.60, 70.96 and 46.34 is: 63.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.60 : 70.96 = 46.34 : x
  2. Step 2: Convert to fraction form
    51.60/70.96 = 46.34/x
  3. Step 3: Cross multiply
    51.60x = 70.96 × 46.34
  4. Step 4: Simplify right side
    51.60x = 3,288.29
  5. Step 5: Solve for x
    x = 3,288.29/51.60
  6. Step 6: Final answer
    x = 63.73

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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.