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Finding the Fourth Proportional to 46.74, 64.63 and 41.28

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Solution

The fourth proportional to 46.74, 64.63 and 41.28 is: 57.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.74 : 64.63 = 41.28 : x
  2. Step 2: Convert to fraction form
    46.74/64.63 = 41.28/x
  3. Step 3: Cross multiply
    46.74x = 64.63 × 41.28
  4. Step 4: Simplify right side
    46.74x = 2,667.93
  5. Step 5: Solve for x
    x = 2,667.93/46.74
  6. Step 6: Final answer
    x = 57.08

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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.