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Finding the Fourth Proportional to 143.64, 215.34 and 75.06

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Solution

The fourth proportional to 143.64, 215.34 and 75.06 is: 112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.64 : 215.34 = 75.06 : x
  2. Step 2: Convert to fraction form
    143.64/215.34 = 75.06/x
  3. Step 3: Cross multiply
    143.64x = 215.34 × 75.06
  4. Step 4: Simplify right side
    143.64x = 16,163.42
  5. Step 5: Solve for x
    x = 16,163.42/143.64
  6. Step 6: Final answer
    x = 112.53

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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.