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Finding the Fourth Proportional to 114.19, 157.59 and 83.21

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Solution

The fourth proportional to 114.19, 157.59 and 83.21 is: 114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.19 : 157.59 = 83.21 : x
  2. Step 2: Convert to fraction form
    114.19/157.59 = 83.21/x
  3. Step 3: Cross multiply
    114.19x = 157.59 × 83.21
  4. Step 4: Simplify right side
    114.19x = 13,112.28
  5. Step 5: Solve for x
    x = 13,112.28/114.19
  6. Step 6: Final answer
    x = 114.83

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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.