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Finding the Fourth Proportional to 145.32, 217.81 and 76.78

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Solution

The fourth proportional to 145.32, 217.81 and 76.78 is: 115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.32 : 217.81 = 76.78 : x
  2. Step 2: Convert to fraction form
    145.32/217.81 = 76.78/x
  3. Step 3: Cross multiply
    145.32x = 217.81 × 76.78
  4. Step 4: Simplify right side
    145.32x = 16,723.45
  5. Step 5: Solve for x
    x = 16,723.45/145.32
  6. Step 6: Final answer
    x = 115.08

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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.