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Finding the Fourth Proportional to 74.97, 103.44 and 56.61

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Solution

The fourth proportional to 74.97, 103.44 and 56.61 is: 78.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.97 : 103.44 = 56.61 : x
  2. Step 2: Convert to fraction form
    74.97/103.44 = 56.61/x
  3. Step 3: Cross multiply
    74.97x = 103.44 × 56.61
  4. Step 4: Simplify right side
    74.97x = 5,855.74
  5. Step 5: Solve for x
    x = 5,855.74/74.97
  6. Step 6: Final answer
    x = 78.11

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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.