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Finding the Fourth Proportional to 145.55, 218.17 and 105.15

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Solution

The fourth proportional to 145.55, 218.17 and 105.15 is: 157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.55 : 218.17 = 105.15 : x
  2. Step 2: Convert to fraction form
    145.55/218.17 = 105.15/x
  3. Step 3: Cross multiply
    145.55x = 218.17 × 105.15
  4. Step 4: Simplify right side
    145.55x = 22,940.31
  5. Step 5: Solve for x
    x = 22,940.31/145.55
  6. Step 6: Final answer
    x = 157.61

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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.