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Finding the Fourth Proportional to 55.08, 82.56 and 30.66

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Solution

The fourth proportional to 55.08, 82.56 and 30.66 is: 45.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.08 : 82.56 = 30.66 : x
  2. Step 2: Convert to fraction form
    55.08/82.56 = 30.66/x
  3. Step 3: Cross multiply
    55.08x = 82.56 × 30.66
  4. Step 4: Simplify right side
    55.08x = 2,531.29
  5. Step 5: Solve for x
    x = 2,531.29/55.08
  6. Step 6: Final answer
    x = 45.96

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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.