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Finding the Fourth Proportional to 114.93, 158.58 and 68.29

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Solution

The fourth proportional to 114.93, 158.58 and 68.29 is: 94.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.93 : 158.58 = 68.29 : x
  2. Step 2: Convert to fraction form
    114.93/158.58 = 68.29/x
  3. Step 3: Cross multiply
    114.93x = 158.58 × 68.29
  4. Step 4: Simplify right side
    114.93x = 10,829.43
  5. Step 5: Solve for x
    x = 10,829.43/114.93
  6. Step 6: Final answer
    x = 94.23

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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.