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Finding the Fourth Proportional to 46.46, 64.04 and 36.74

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Solution

The fourth proportional to 46.46, 64.04 and 36.74 is: 50.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.46 : 64.04 = 36.74 : x
  2. Step 2: Convert to fraction form
    46.46/64.04 = 36.74/x
  3. Step 3: Cross multiply
    46.46x = 64.04 × 36.74
  4. Step 4: Simplify right side
    46.46x = 2,352.83
  5. Step 5: Solve for x
    x = 2,352.83/46.46
  6. Step 6: Final answer
    x = 50.64

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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.