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Finding the Fourth Proportional to 145.74, 218.43 and 77.24

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Solution

The fourth proportional to 145.74, 218.43 and 77.24 is: 115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.74 : 218.43 = 77.24 : x
  2. Step 2: Convert to fraction form
    145.74/218.43 = 77.24/x
  3. Step 3: Cross multiply
    145.74x = 218.43 × 77.24
  4. Step 4: Simplify right side
    145.74x = 16,870.44
  5. Step 5: Solve for x
    x = 16,870.44/145.74
  6. Step 6: Final answer
    x = 115.76

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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.