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Finding the Fourth Proportional to 81.51, 112.47 and 48.78

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Solution

The fourth proportional to 81.51, 112.47 and 48.78 is: 67.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.51 : 112.47 = 48.78 : x
  2. Step 2: Convert to fraction form
    81.51/112.47 = 48.78/x
  3. Step 3: Cross multiply
    81.51x = 112.47 × 48.78
  4. Step 4: Simplify right side
    81.51x = 5,486.29
  5. Step 5: Solve for x
    x = 5,486.29/81.51
  6. Step 6: Final answer
    x = 67.31

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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.