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Finding the Fourth Proportional to 107.20, 147.70 and 89.62

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Solution

The fourth proportional to 107.20, 147.70 and 89.62 is: 123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.20 : 147.70 = 89.62 : x
  2. Step 2: Convert to fraction form
    107.20/147.70 = 89.62/x
  3. Step 3: Cross multiply
    107.20x = 147.70 × 89.62
  4. Step 4: Simplify right side
    107.20x = 13,236.28
  5. Step 5: Solve for x
    x = 13,236.28/107.20
  6. Step 6: Final answer
    x = 123.48

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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.