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Finding the Fourth Proportional to 140.53, 192.65 and 134.14

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Solution

The fourth proportional to 140.53, 192.65 and 134.14 is: 183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.53 : 192.65 = 134.14 : x
  2. Step 2: Convert to fraction form
    140.53/192.65 = 134.14/x
  3. Step 3: Cross multiply
    140.53x = 192.65 × 134.14
  4. Step 4: Simplify right side
    140.53x = 25,842.07
  5. Step 5: Solve for x
    x = 25,842.07/140.53
  6. Step 6: Final answer
    x = 183.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.