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Finding the Fourth Proportional to 114.21, 157.34 and 95.99

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Solution

The fourth proportional to 114.21, 157.34 and 95.99 is: 132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.21 : 157.34 = 95.99 : x
  2. Step 2: Convert to fraction form
    114.21/157.34 = 95.99/x
  3. Step 3: Cross multiply
    114.21x = 157.34 × 95.99
  4. Step 4: Simplify right side
    114.21x = 15,102.52
  5. Step 5: Solve for x
    x = 15,102.52/114.21
  6. Step 6: Final answer
    x = 132.23

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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.