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Finding the Fourth Proportional to 46.48, 69.64 and 32

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Solution

The fourth proportional to 46.48, 69.64 and 32 is: 47.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.48 : 69.64 = 32 : x
  2. Step 2: Convert to fraction form
    46.48/69.64 = 32/x
  3. Step 3: Cross multiply
    46.48x = 69.64 × 32
  4. Step 4: Simplify right side
    46.48x = 2,228.48
  5. Step 5: Solve for x
    x = 2,228.48/46.48
  6. Step 6: Final answer
    x = 47.94

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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.