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Finding the Fourth Proportional to 81.53, 112.45 and 48.76

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Solution

The fourth proportional to 81.53, 112.45 and 48.76 is: 67.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.53 : 112.45 = 48.76 : x
  2. Step 2: Convert to fraction form
    81.53/112.45 = 48.76/x
  3. Step 3: Cross multiply
    81.53x = 112.45 × 48.76
  4. Step 4: Simplify right side
    81.53x = 5,483.06
  5. Step 5: Solve for x
    x = 5,483.06/81.53
  6. Step 6: Final answer
    x = 67.25

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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.