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Finding the Fourth Proportional to 114.34, 157.72 and 83.26

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Solution

The fourth proportional to 114.34, 157.72 and 83.26 is: 114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.34 : 157.72 = 83.26 : x
  2. Step 2: Convert to fraction form
    114.34/157.72 = 83.26/x
  3. Step 3: Cross multiply
    114.34x = 157.72 × 83.26
  4. Step 4: Simplify right side
    114.34x = 13,131.77
  5. Step 5: Solve for x
    x = 13,131.77/114.34
  6. Step 6: Final answer
    x = 114.85

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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.