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Finding the Fourth Proportional to 140.41, 193.60 and 114.10

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Solution

The fourth proportional to 140.41, 193.60 and 114.10 is: 157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.41 : 193.60 = 114.10 : x
  2. Step 2: Convert to fraction form
    140.41/193.60 = 114.10/x
  3. Step 3: Cross multiply
    140.41x = 193.60 × 114.10
  4. Step 4: Simplify right side
    140.41x = 22,089.42
  5. Step 5: Solve for x
    x = 22,089.42/140.41
  6. Step 6: Final answer
    x = 157.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.