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Finding the Fourth Proportional to 77.98, 117.07 and 37.48

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Solution

The fourth proportional to 77.98, 117.07 and 37.48 is: 56.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.98 : 117.07 = 37.48 : x
  2. Step 2: Convert to fraction form
    77.98/117.07 = 37.48/x
  3. Step 3: Cross multiply
    77.98x = 117.07 × 37.48
  4. Step 4: Simplify right side
    77.98x = 4,387.78
  5. Step 5: Solve for x
    x = 4,387.78/77.98
  6. Step 6: Final answer
    x = 56.27

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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.