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Finding the Fourth Proportional to 140.56, 210.76 and 55.04

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Solution

The fourth proportional to 140.56, 210.76 and 55.04 is: 82.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.56 : 210.76 = 55.04 : x
  2. Step 2: Convert to fraction form
    140.56/210.76 = 55.04/x
  3. Step 3: Cross multiply
    140.56x = 210.76 × 55.04
  4. Step 4: Simplify right side
    140.56x = 11,600.23
  5. Step 5: Solve for x
    x = 11,600.23/140.56
  6. Step 6: Final answer
    x = 82.53

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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.