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Finding the Fourth Proportional to 81.15, 111.97 and 53.58

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Solution

The fourth proportional to 81.15, 111.97 and 53.58 is: 73.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.15 : 111.97 = 53.58 : x
  2. Step 2: Convert to fraction form
    81.15/111.97 = 53.58/x
  3. Step 3: Cross multiply
    81.15x = 111.97 × 53.58
  4. Step 4: Simplify right side
    81.15x = 5,999.35
  5. Step 5: Solve for x
    x = 5,999.35/81.15
  6. Step 6: Final answer
    x = 73.93

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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.