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Finding the Fourth Proportional to 70.72, 106.07 and 46.82

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Solution

The fourth proportional to 70.72, 106.07 and 46.82 is: 70.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.72 : 106.07 = 46.82 : x
  2. Step 2: Convert to fraction form
    70.72/106.07 = 46.82/x
  3. Step 3: Cross multiply
    70.72x = 106.07 × 46.82
  4. Step 4: Simplify right side
    70.72x = 4,966.20
  5. Step 5: Solve for x
    x = 4,966.20/70.72
  6. Step 6: Final answer
    x = 70.22

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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.