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Finding the Fourth Proportional to 40.62, 56.02 and 40.02

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Solution

The fourth proportional to 40.62, 56.02 and 40.02 is: 55.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.62 : 56.02 = 40.02 : x
  2. Step 2: Convert to fraction form
    40.62/56.02 = 40.02/x
  3. Step 3: Cross multiply
    40.62x = 56.02 × 40.02
  4. Step 4: Simplify right side
    40.62x = 2,241.92
  5. Step 5: Solve for x
    x = 2,241.92/40.62
  6. Step 6: Final answer
    x = 55.19

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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.