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Finding the Fourth Proportional to 140.66, 210.80 and 125.14

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Solution

The fourth proportional to 140.66, 210.80 and 125.14 is: 187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.66 : 210.80 = 125.14 : x
  2. Step 2: Convert to fraction form
    140.66/210.80 = 125.14/x
  3. Step 3: Cross multiply
    140.66x = 210.80 × 125.14
  4. Step 4: Simplify right side
    140.66x = 26,379.51
  5. Step 5: Solve for x
    x = 26,379.51/140.66
  6. Step 6: Final answer
    x = 187.54

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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.