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Finding the Fourth Proportional to 46.89, 64.76 and 41.72

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Solution

The fourth proportional to 46.89, 64.76 and 41.72 is: 57.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.89 : 64.76 = 41.72 : x
  2. Step 2: Convert to fraction form
    46.89/64.76 = 41.72/x
  3. Step 3: Cross multiply
    46.89x = 64.76 × 41.72
  4. Step 4: Simplify right side
    46.89x = 2,701.25
  5. Step 5: Solve for x
    x = 2,701.25/46.89
  6. Step 6: Final answer
    x = 57.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.