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Finding the Fourth Proportional to 46.56, 64.04 and 39.66

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Solution

The fourth proportional to 46.56, 64.04 and 39.66 is: 54.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.56 : 64.04 = 39.66 : x
  2. Step 2: Convert to fraction form
    46.56/64.04 = 39.66/x
  3. Step 3: Cross multiply
    46.56x = 64.04 × 39.66
  4. Step 4: Simplify right side
    46.56x = 2,539.83
  5. Step 5: Solve for x
    x = 2,539.83/46.56
  6. Step 6: Final answer
    x = 54.55

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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.