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Finding the Fourth Proportional to 75.57, 104.31 and 46.47

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Solution

The fourth proportional to 75.57, 104.31 and 46.47 is: 64.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.57 : 104.31 = 46.47 : x
  2. Step 2: Convert to fraction form
    75.57/104.31 = 46.47/x
  3. Step 3: Cross multiply
    75.57x = 104.31 × 46.47
  4. Step 4: Simplify right side
    75.57x = 4,847.29
  5. Step 5: Solve for x
    x = 4,847.29/75.57
  6. Step 6: Final answer
    x = 64.14

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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.