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Finding the Fourth Proportional to 114.54, 158.16 and 77.83

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Solution

The fourth proportional to 114.54, 158.16 and 77.83 is: 107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.54 : 158.16 = 77.83 : x
  2. Step 2: Convert to fraction form
    114.54/158.16 = 77.83/x
  3. Step 3: Cross multiply
    114.54x = 158.16 × 77.83
  4. Step 4: Simplify right side
    114.54x = 12,309.59
  5. Step 5: Solve for x
    x = 12,309.59/114.54
  6. Step 6: Final answer
    x = 107.47

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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.