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Finding the Fourth Proportional to 58.46, 80.67 and 46.82

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Solution

The fourth proportional to 58.46, 80.67 and 46.82 is: 64.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.46 : 80.67 = 46.82 : x
  2. Step 2: Convert to fraction form
    58.46/80.67 = 46.82/x
  3. Step 3: Cross multiply
    58.46x = 80.67 × 46.82
  4. Step 4: Simplify right side
    58.46x = 3,776.57
  5. Step 5: Solve for x
    x = 3,776.57/58.46
  6. Step 6: Final answer
    x = 64.61

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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.