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Finding the Fourth Proportional to 145.24, 200.10 and 129.64

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Solution

The fourth proportional to 145.24, 200.10 and 129.64 is: 178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.24 : 200.10 = 129.64 : x
  2. Step 2: Convert to fraction form
    145.24/200.10 = 129.64/x
  3. Step 3: Cross multiply
    145.24x = 200.10 × 129.64
  4. Step 4: Simplify right side
    145.24x = 25,940.96
  5. Step 5: Solve for x
    x = 25,940.96/145.24
  6. Step 6: Final answer
    x = 178.61

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