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Finding the Fourth Proportional to 140.59, 210.51 and 120.07

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Solution

The fourth proportional to 140.59, 210.51 and 120.07 is: 179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.59 : 210.51 = 120.07 : x
  2. Step 2: Convert to fraction form
    140.59/210.51 = 120.07/x
  3. Step 3: Cross multiply
    140.59x = 210.51 × 120.07
  4. Step 4: Simplify right side
    140.59x = 25,275.94
  5. Step 5: Solve for x
    x = 25,275.94/140.59
  6. Step 6: Final answer
    x = 179.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.