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Finding the Fourth Proportional to 46.64, 64.25 and 42.54

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Solution

The fourth proportional to 46.64, 64.25 and 42.54 is: 58.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.64 : 64.25 = 42.54 : x
  2. Step 2: Convert to fraction form
    46.64/64.25 = 42.54/x
  3. Step 3: Cross multiply
    46.64x = 64.25 × 42.54
  4. Step 4: Simplify right side
    46.64x = 2,733.30
  5. Step 5: Solve for x
    x = 2,733.30/46.64
  6. Step 6: Final answer
    x = 58.61

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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.