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Finding the Fourth Proportional to 107.06, 147.84 and 86.54

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Solution

The fourth proportional to 107.06, 147.84 and 86.54 is: 119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.06 : 147.84 = 86.54 : x
  2. Step 2: Convert to fraction form
    107.06/147.84 = 86.54/x
  3. Step 3: Cross multiply
    107.06x = 147.84 × 86.54
  4. Step 4: Simplify right side
    107.06x = 12,794.07
  5. Step 5: Solve for x
    x = 12,794.07/107.06
  6. Step 6: Final answer
    x = 119.50

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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.