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Finding the Fourth Proportional to 107.76, 148.74 and 81.48

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Solution

The fourth proportional to 107.76, 148.74 and 81.48 is: 112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.76 : 148.74 = 81.48 : x
  2. Step 2: Convert to fraction form
    107.76/148.74 = 81.48/x
  3. Step 3: Cross multiply
    107.76x = 148.74 × 81.48
  4. Step 4: Simplify right side
    107.76x = 12,119.34
  5. Step 5: Solve for x
    x = 12,119.34/107.76
  6. Step 6: Final answer
    x = 112.47

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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.