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Finding the Fourth Proportional to 66.12, 98.76 and 54.60

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Solution

The fourth proportional to 66.12, 98.76 and 54.60 is: 81.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.12 : 98.76 = 54.60 : x
  2. Step 2: Convert to fraction form
    66.12/98.76 = 54.60/x
  3. Step 3: Cross multiply
    66.12x = 98.76 × 54.60
  4. Step 4: Simplify right side
    66.12x = 5,392.30
  5. Step 5: Solve for x
    x = 5,392.30/66.12
  6. Step 6: Final answer
    x = 81.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.