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Finding the Fourth Proportional to 143.76, 215.49 and 71.47

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Solution

The fourth proportional to 143.76, 215.49 and 71.47 is: 107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.76 : 215.49 = 71.47 : x
  2. Step 2: Convert to fraction form
    143.76/215.49 = 71.47/x
  3. Step 3: Cross multiply
    143.76x = 215.49 × 71.47
  4. Step 4: Simplify right side
    143.76x = 15,401.07
  5. Step 5: Solve for x
    x = 15,401.07/143.76
  6. Step 6: Final answer
    x = 107.13

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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.