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Finding the Fourth Proportional to 114, 169.78 and 112.59

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Solution

The fourth proportional to 114, 169.78 and 112.59 is: 167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114 : 169.78 = 112.59 : x
  2. Step 2: Convert to fraction form
    114/169.78 = 112.59/x
  3. Step 3: Cross multiply
    114x = 169.78 × 112.59
  4. Step 4: Simplify right side
    114x = 19,115.53
  5. Step 5: Solve for x
    x = 19,115.53/114
  6. Step 6: Final answer
    x = 167.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.