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Finding the Fourth Proportional to 55, 82.56 and 46.54

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Solution

The fourth proportional to 55, 82.56 and 46.54 is: 69.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55 : 82.56 = 46.54 : x
  2. Step 2: Convert to fraction form
    55/82.56 = 46.54/x
  3. Step 3: Cross multiply
    55x = 82.56 × 46.54
  4. Step 4: Simplify right side
    55x = 3,842.34
  5. Step 5: Solve for x
    x = 3,842.34/55
  6. Step 6: Final answer
    x = 69.86

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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.