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Finding the Fourth Proportional to 114.54, 157.98 and 83.42

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Solution

The fourth proportional to 114.54, 157.98 and 83.42 is: 115.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.54 : 157.98 = 83.42 : x
  2. Step 2: Convert to fraction form
    114.54/157.98 = 83.42/x
  3. Step 3: Cross multiply
    114.54x = 157.98 × 83.42
  4. Step 4: Simplify right side
    114.54x = 13,178.69
  5. Step 5: Solve for x
    x = 13,178.69/114.54
  6. Step 6: Final answer
    x = 115.06

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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.