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Finding the Fourth Proportional to 66.50, 91.64 and 54.84

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Solution

The fourth proportional to 66.50, 91.64 and 54.84 is: 75.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.50 : 91.64 = 54.84 : x
  2. Step 2: Convert to fraction form
    66.50/91.64 = 54.84/x
  3. Step 3: Cross multiply
    66.50x = 91.64 × 54.84
  4. Step 4: Simplify right side
    66.50x = 5,025.54
  5. Step 5: Solve for x
    x = 5,025.54/66.50
  6. Step 6: Final answer
    x = 75.57

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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.