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Finding the Fourth Proportional to 38.77, 58.20 and 36.64

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Solution

The fourth proportional to 38.77, 58.20 and 36.64 is: 55.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.77 : 58.20 = 36.64 : x
  2. Step 2: Convert to fraction form
    38.77/58.20 = 36.64/x
  3. Step 3: Cross multiply
    38.77x = 58.20 × 36.64
  4. Step 4: Simplify right side
    38.77x = 2,132.45
  5. Step 5: Solve for x
    x = 2,132.45/38.77
  6. Step 6: Final answer
    x = 55.00

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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.