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Finding the Fourth Proportional to 70.91, 106.23 and 52.82

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Solution

The fourth proportional to 70.91, 106.23 and 52.82 is: 79.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.91 : 106.23 = 52.82 : x
  2. Step 2: Convert to fraction form
    70.91/106.23 = 52.82/x
  3. Step 3: Cross multiply
    70.91x = 106.23 × 52.82
  4. Step 4: Simplify right side
    70.91x = 5,611.07
  5. Step 5: Solve for x
    x = 5,611.07/70.91
  6. Step 6: Final answer
    x = 79.13

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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.