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Finding the Fourth Proportional to 46.77, 64.49 and 32

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Solution

The fourth proportional to 46.77, 64.49 and 32 is: 44.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.77 : 64.49 = 32 : x
  2. Step 2: Convert to fraction form
    46.77/64.49 = 32/x
  3. Step 3: Cross multiply
    46.77x = 64.49 × 32
  4. Step 4: Simplify right side
    46.77x = 2,063.68
  5. Step 5: Solve for x
    x = 2,063.68/46.77
  6. Step 6: Final answer
    x = 44.12

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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.