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Finding the Fourth Proportional to 107.05, 147.87 and 84.02

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Solution

The fourth proportional to 107.05, 147.87 and 84.02 is: 116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.05 : 147.87 = 84.02 : x
  2. Step 2: Convert to fraction form
    107.05/147.87 = 84.02/x
  3. Step 3: Cross multiply
    107.05x = 147.87 × 84.02
  4. Step 4: Simplify right side
    107.05x = 12,424.41
  5. Step 5: Solve for x
    x = 12,424.41/107.05
  6. Step 6: Final answer
    x = 116.06

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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.