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Finding the Fourth Proportional to 56.02, 84.15 and 40.09

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Solution

The fourth proportional to 56.02, 84.15 and 40.09 is: 60.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.02 : 84.15 = 40.09 : x
  2. Step 2: Convert to fraction form
    56.02/84.15 = 40.09/x
  3. Step 3: Cross multiply
    56.02x = 84.15 × 40.09
  4. Step 4: Simplify right side
    56.02x = 3,373.57
  5. Step 5: Solve for x
    x = 3,373.57/56.02
  6. Step 6: Final answer
    x = 60.22

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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.