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Finding the Fourth Proportional to 75.35, 103.92 and 47.31

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Solution

The fourth proportional to 75.35, 103.92 and 47.31 is: 65.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.35 : 103.92 = 47.31 : x
  2. Step 2: Convert to fraction form
    75.35/103.92 = 47.31/x
  3. Step 3: Cross multiply
    75.35x = 103.92 × 47.31
  4. Step 4: Simplify right side
    75.35x = 4,916.47
  5. Step 5: Solve for x
    x = 4,916.47/75.35
  6. Step 6: Final answer
    x = 65.25

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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.