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Finding the Fourth Proportional to 72.04, 107.98 and 37.78

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Solution

The fourth proportional to 72.04, 107.98 and 37.78 is: 56.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.04 : 107.98 = 37.78 : x
  2. Step 2: Convert to fraction form
    72.04/107.98 = 37.78/x
  3. Step 3: Cross multiply
    72.04x = 107.98 × 37.78
  4. Step 4: Simplify right side
    72.04x = 4,079.48
  5. Step 5: Solve for x
    x = 4,079.48/72.04
  6. Step 6: Final answer
    x = 56.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.