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Finding the Fourth Proportional to 66.52, 91.78 and 54.96

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Solution

The fourth proportional to 66.52, 91.78 and 54.96 is: 75.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.52 : 91.78 = 54.96 : x
  2. Step 2: Convert to fraction form
    66.52/91.78 = 54.96/x
  3. Step 3: Cross multiply
    66.52x = 91.78 × 54.96
  4. Step 4: Simplify right side
    66.52x = 5,044.23
  5. Step 5: Solve for x
    x = 5,044.23/66.52
  6. Step 6: Final answer
    x = 75.83

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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.