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Finding the Fourth Proportional to 40.98, 56.52 and 30.03

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Solution

The fourth proportional to 40.98, 56.52 and 30.03 is: 41.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.98 : 56.52 = 30.03 : x
  2. Step 2: Convert to fraction form
    40.98/56.52 = 30.03/x
  3. Step 3: Cross multiply
    40.98x = 56.52 × 30.03
  4. Step 4: Simplify right side
    40.98x = 1,697.30
  5. Step 5: Solve for x
    x = 1,697.30/40.98
  6. Step 6: Final answer
    x = 41.42

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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.