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Finding the Fourth Proportional to 76.06, 105.01 and 46.97

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Solution

The fourth proportional to 76.06, 105.01 and 46.97 is: 64.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.06 : 105.01 = 46.97 : x
  2. Step 2: Convert to fraction form
    76.06/105.01 = 46.97/x
  3. Step 3: Cross multiply
    76.06x = 105.01 × 46.97
  4. Step 4: Simplify right side
    76.06x = 4,932.34
  5. Step 5: Solve for x
    x = 4,932.34/76.06
  6. Step 6: Final answer
    x = 64.85

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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.