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Finding the Fourth Proportional to 56.10, 84.02 and 37.77

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Solution

The fourth proportional to 56.10, 84.02 and 37.77 is: 56.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.10 : 84.02 = 37.77 : x
  2. Step 2: Convert to fraction form
    56.10/84.02 = 37.77/x
  3. Step 3: Cross multiply
    56.10x = 84.02 × 37.77
  4. Step 4: Simplify right side
    56.10x = 3,173.25
  5. Step 5: Solve for x
    x = 3,173.25/56.10
  6. Step 6: Final answer
    x = 56.56

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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.