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Finding the Fourth Proportional to 114.73, 158.36 and 77.88

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Solution

The fourth proportional to 114.73, 158.36 and 77.88 is: 107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.73 : 158.36 = 77.88 : x
  2. Step 2: Convert to fraction form
    114.73/158.36 = 77.88/x
  3. Step 3: Cross multiply
    114.73x = 158.36 × 77.88
  4. Step 4: Simplify right side
    114.73x = 12,333.28
  5. Step 5: Solve for x
    x = 12,333.28/114.73
  6. Step 6: Final answer
    x = 107.50

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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.