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Finding the Fourth Proportional to 40.98, 56.28 and 35.55

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Solution

The fourth proportional to 40.98, 56.28 and 35.55 is: 48.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.98 : 56.28 = 35.55 : x
  2. Step 2: Convert to fraction form
    40.98/56.28 = 35.55/x
  3. Step 3: Cross multiply
    40.98x = 56.28 × 35.55
  4. Step 4: Simplify right side
    40.98x = 2,000.75
  5. Step 5: Solve for x
    x = 2,000.75/40.98
  6. Step 6: Final answer
    x = 48.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.