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Finding the Fourth Proportional to 105.64, 158.30 and 77.16

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Solution

The fourth proportional to 105.64, 158.30 and 77.16 is: 115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.64 : 158.30 = 77.16 : x
  2. Step 2: Convert to fraction form
    105.64/158.30 = 77.16/x
  3. Step 3: Cross multiply
    105.64x = 158.30 × 77.16
  4. Step 4: Simplify right side
    105.64x = 12,214.43
  5. Step 5: Solve for x
    x = 12,214.43/105.64
  6. Step 6: Final answer
    x = 115.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.