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Finding the Fourth Proportional to 70.16, 104.82 and 48.33

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Solution

The fourth proportional to 70.16, 104.82 and 48.33 is: 72.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.16 : 104.82 = 48.33 : x
  2. Step 2: Convert to fraction form
    70.16/104.82 = 48.33/x
  3. Step 3: Cross multiply
    70.16x = 104.82 × 48.33
  4. Step 4: Simplify right side
    70.16x = 5,065.77
  5. Step 5: Solve for x
    x = 5,065.77/70.16
  6. Step 6: Final answer
    x = 72.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.