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Finding the Fourth Proportional to 81.55, 112.58 and 48.82

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Solution

The fourth proportional to 81.55, 112.58 and 48.82 is: 67.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.55 : 112.58 = 48.82 : x
  2. Step 2: Convert to fraction form
    81.55/112.58 = 48.82/x
  3. Step 3: Cross multiply
    81.55x = 112.58 × 48.82
  4. Step 4: Simplify right side
    81.55x = 5,495.35
  5. Step 5: Solve for x
    x = 5,495.35/81.55
  6. Step 6: Final answer
    x = 67.39

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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.