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Finding the Fourth Proportional to 74.75, 103.05 and 56.31

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Solution

The fourth proportional to 74.75, 103.05 and 56.31 is: 77.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.75 : 103.05 = 56.31 : x
  2. Step 2: Convert to fraction form
    74.75/103.05 = 56.31/x
  3. Step 3: Cross multiply
    74.75x = 103.05 × 56.31
  4. Step 4: Simplify right side
    74.75x = 5,802.75
  5. Step 5: Solve for x
    x = 5,802.75/74.75
  6. Step 6: Final answer
    x = 77.63

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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.