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Finding the Fourth Proportional to 115.42, 159.24 and 76.64

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Solution

The fourth proportional to 115.42, 159.24 and 76.64 is: 105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.42 : 159.24 = 76.64 : x
  2. Step 2: Convert to fraction form
    115.42/159.24 = 76.64/x
  3. Step 3: Cross multiply
    115.42x = 159.24 × 76.64
  4. Step 4: Simplify right side
    115.42x = 12,204.15
  5. Step 5: Solve for x
    x = 12,204.15/115.42
  6. Step 6: Final answer
    x = 105.74

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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.