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Finding the Fourth Proportional to 145.86, 218.63 and 77.30

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Solution

The fourth proportional to 145.86, 218.63 and 77.30 is: 115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.86 : 218.63 = 77.30 : x
  2. Step 2: Convert to fraction form
    145.86/218.63 = 77.30/x
  3. Step 3: Cross multiply
    145.86x = 218.63 × 77.30
  4. Step 4: Simplify right side
    145.86x = 16,900.10
  5. Step 5: Solve for x
    x = 16,900.10/145.86
  6. Step 6: Final answer
    x = 115.87

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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.