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Finding the Fourth Proportional to 114.41, 157.82 and 106.59

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Solution

The fourth proportional to 114.41, 157.82 and 106.59 is: 147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.41 : 157.82 = 106.59 : x
  2. Step 2: Convert to fraction form
    114.41/157.82 = 106.59/x
  3. Step 3: Cross multiply
    114.41x = 157.82 × 106.59
  4. Step 4: Simplify right side
    114.41x = 16,822.03
  5. Step 5: Solve for x
    x = 16,822.03/114.41
  6. Step 6: Final answer
    x = 147.03

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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.