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Finding the Fourth Proportional to 55.22, 82.43 and 47.48

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Solution

The fourth proportional to 55.22, 82.43 and 47.48 is: 70.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.22 : 82.43 = 47.48 : x
  2. Step 2: Convert to fraction form
    55.22/82.43 = 47.48/x
  3. Step 3: Cross multiply
    55.22x = 82.43 × 47.48
  4. Step 4: Simplify right side
    55.22x = 3,913.13
  5. Step 5: Solve for x
    x = 3,913.13/55.22
  6. Step 6: Final answer
    x = 70.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.