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Finding the Fourth Proportional to 145.42, 217.99 and 76.84

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Solution

The fourth proportional to 145.42, 217.99 and 76.84 is: 115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.42 : 217.99 = 76.84 : x
  2. Step 2: Convert to fraction form
    145.42/217.99 = 76.84/x
  3. Step 3: Cross multiply
    145.42x = 217.99 × 76.84
  4. Step 4: Simplify right side
    145.42x = 16,750.35
  5. Step 5: Solve for x
    x = 16,750.35/145.42
  6. Step 6: Final answer
    x = 115.19

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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.