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Finding the Fourth Proportional to 75.96, 104.83 and 46.47

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Solution

The fourth proportional to 75.96, 104.83 and 46.47 is: 64.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.96 : 104.83 = 46.47 : x
  2. Step 2: Convert to fraction form
    75.96/104.83 = 46.47/x
  3. Step 3: Cross multiply
    75.96x = 104.83 × 46.47
  4. Step 4: Simplify right side
    75.96x = 4,870.93
  5. Step 5: Solve for x
    x = 4,870.93/75.96
  6. Step 6: Final answer
    x = 64.12

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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.