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Finding the Fourth Proportional to 57.74, 79.72 and 46.13

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Solution

The fourth proportional to 57.74, 79.72 and 46.13 is: 63.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.74 : 79.72 = 46.13 : x
  2. Step 2: Convert to fraction form
    57.74/79.72 = 46.13/x
  3. Step 3: Cross multiply
    57.74x = 79.72 × 46.13
  4. Step 4: Simplify right side
    57.74x = 3,676.97
  5. Step 5: Solve for x
    x = 3,676.97/57.74
  6. Step 6: Final answer
    x = 63.69

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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.