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Finding the Fourth Proportional to 140.13, 210.96 and 127.56

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Solution

The fourth proportional to 140.13, 210.96 and 127.56 is: 192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.13 : 210.96 = 127.56 : x
  2. Step 2: Convert to fraction form
    140.13/210.96 = 127.56/x
  3. Step 3: Cross multiply
    140.13x = 210.96 × 127.56
  4. Step 4: Simplify right side
    140.13x = 26,910.06
  5. Step 5: Solve for x
    x = 26,910.06/140.13
  6. Step 6: Final answer
    x = 192.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.