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Finding the Fourth Proportional to 107.02, 147.82 and 80.76

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Solution

The fourth proportional to 107.02, 147.82 and 80.76 is: 111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.02 : 147.82 = 80.76 : x
  2. Step 2: Convert to fraction form
    107.02/147.82 = 80.76/x
  3. Step 3: Cross multiply
    107.02x = 147.82 × 80.76
  4. Step 4: Simplify right side
    107.02x = 11,937.94
  5. Step 5: Solve for x
    x = 11,937.94/107.02
  6. Step 6: Final answer
    x = 111.55

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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.