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Finding the Fourth Proportional to 46.52, 69.44 and 43.46

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Solution

The fourth proportional to 46.52, 69.44 and 43.46 is: 64.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.52 : 69.44 = 43.46 : x
  2. Step 2: Convert to fraction form
    46.52/69.44 = 43.46/x
  3. Step 3: Cross multiply
    46.52x = 69.44 × 43.46
  4. Step 4: Simplify right side
    46.52x = 3,017.46
  5. Step 5: Solve for x
    x = 3,017.46/46.52
  6. Step 6: Final answer
    x = 64.87

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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.