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Finding the Fourth Proportional to 55.14, 82.62 and 32.28

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Solution

The fourth proportional to 55.14, 82.62 and 32.28 is: 48.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.14 : 82.62 = 32.28 : x
  2. Step 2: Convert to fraction form
    55.14/82.62 = 32.28/x
  3. Step 3: Cross multiply
    55.14x = 82.62 × 32.28
  4. Step 4: Simplify right side
    55.14x = 2,666.97
  5. Step 5: Solve for x
    x = 2,666.97/55.14
  6. Step 6: Final answer
    x = 48.37

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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.