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Finding the Fourth Proportional to 107.21, 147.95 and 58.09

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Solution

The fourth proportional to 107.21, 147.95 and 58.09 is: 80.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.21 : 147.95 = 58.09 : x
  2. Step 2: Convert to fraction form
    107.21/147.95 = 58.09/x
  3. Step 3: Cross multiply
    107.21x = 147.95 × 58.09
  4. Step 4: Simplify right side
    107.21x = 8,593.96
  5. Step 5: Solve for x
    x = 8,593.96/107.21
  6. Step 6: Final answer
    x = 80.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.