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Finding the Fourth Proportional to 145.81, 201.18 and 129.61

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Solution

The fourth proportional to 145.81, 201.18 and 129.61 is: 178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.81 : 201.18 = 129.61 : x
  2. Step 2: Convert to fraction form
    145.81/201.18 = 129.61/x
  3. Step 3: Cross multiply
    145.81x = 201.18 × 129.61
  4. Step 4: Simplify right side
    145.81x = 26,074.94
  5. Step 5: Solve for x
    x = 26,074.94/145.81
  6. Step 6: Final answer
    x = 178.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.