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Finding the Fourth Proportional to 114.85, 158.37 and 77.50

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Solution

The fourth proportional to 114.85, 158.37 and 77.50 is: 106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.85 : 158.37 = 77.50 : x
  2. Step 2: Convert to fraction form
    114.85/158.37 = 77.50/x
  3. Step 3: Cross multiply
    114.85x = 158.37 × 77.50
  4. Step 4: Simplify right side
    114.85x = 12,272.88
  5. Step 5: Solve for x
    x = 12,272.88/114.85
  6. Step 6: Final answer
    x = 106.86

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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.