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Finding the Fourth Proportional to 71.17, 107.06 and 70.56

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Solution

The fourth proportional to 71.17, 107.06 and 70.56 is: 106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.17 : 107.06 = 70.56 : x
  2. Step 2: Convert to fraction form
    71.17/107.06 = 70.56/x
  3. Step 3: Cross multiply
    71.17x = 107.06 × 70.56
  4. Step 4: Simplify right side
    71.17x = 7,553.80
  5. Step 5: Solve for x
    x = 7,553.80/71.17
  6. Step 6: Final answer
    x = 106.14

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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.