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Finding the Fourth Proportional to 81.48, 112.38 and 53.84

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Solution

The fourth proportional to 81.48, 112.38 and 53.84 is: 74.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.48 : 112.38 = 53.84 : x
  2. Step 2: Convert to fraction form
    81.48/112.38 = 53.84/x
  3. Step 3: Cross multiply
    81.48x = 112.38 × 53.84
  4. Step 4: Simplify right side
    81.48x = 6,050.54
  5. Step 5: Solve for x
    x = 6,050.54/81.48
  6. Step 6: Final answer
    x = 74.26

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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.