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Finding the Fourth Proportional to 145.86, 218.97 and 77.46

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Solution

The fourth proportional to 145.86, 218.97 and 77.46 is: 116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.86 : 218.97 = 77.46 : x
  2. Step 2: Convert to fraction form
    145.86/218.97 = 77.46/x
  3. Step 3: Cross multiply
    145.86x = 218.97 × 77.46
  4. Step 4: Simplify right side
    145.86x = 16,961.42
  5. Step 5: Solve for x
    x = 16,961.42/145.86
  6. Step 6: Final answer
    x = 116.29

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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.