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Finding the Fourth Proportional to 114.05, 157.46 and 82.94

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Solution

The fourth proportional to 114.05, 157.46 and 82.94 is: 114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.05 : 157.46 = 82.94 : x
  2. Step 2: Convert to fraction form
    114.05/157.46 = 82.94/x
  3. Step 3: Cross multiply
    114.05x = 157.46 × 82.94
  4. Step 4: Simplify right side
    114.05x = 13,058.95
  5. Step 5: Solve for x
    x = 13,058.95/114.05
  6. Step 6: Final answer
    x = 114.50

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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.