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Finding the Fourth Proportional to 145.42, 218.24 and 80.46

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Solution

The fourth proportional to 145.42, 218.24 and 80.46 is: 120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.42 : 218.24 = 80.46 : x
  2. Step 2: Convert to fraction form
    145.42/218.24 = 80.46/x
  3. Step 3: Cross multiply
    145.42x = 218.24 × 80.46
  4. Step 4: Simplify right side
    145.42x = 17,560.61
  5. Step 5: Solve for x
    x = 17,560.61/145.42
  6. Step 6: Final answer
    x = 120.76

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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.