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Finding the Fourth Proportional to 107.13, 147.84 and 58.01

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Solution

The fourth proportional to 107.13, 147.84 and 58.01 is: 80.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.13 : 147.84 = 58.01 : x
  2. Step 2: Convert to fraction form
    107.13/147.84 = 58.01/x
  3. Step 3: Cross multiply
    107.13x = 147.84 × 58.01
  4. Step 4: Simplify right side
    107.13x = 8,576.20
  5. Step 5: Solve for x
    x = 8,576.20/107.13
  6. Step 6: Final answer
    x = 80.05

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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.