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Finding the Fourth Proportional to 114, 157.20 and 81.34

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Solution

The fourth proportional to 114, 157.20 and 81.34 is: 112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114 : 157.20 = 81.34 : x
  2. Step 2: Convert to fraction form
    114/157.20 = 81.34/x
  3. Step 3: Cross multiply
    114x = 157.20 × 81.34
  4. Step 4: Simplify right side
    114x = 12,786.65
  5. Step 5: Solve for x
    x = 12,786.65/114
  6. Step 6: Final answer
    x = 112.16

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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.