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Finding the Fourth Proportional to 70.19, 96.81 and 41.06

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Solution

The fourth proportional to 70.19, 96.81 and 41.06 is: 56.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.19 : 96.81 = 41.06 : x
  2. Step 2: Convert to fraction form
    70.19/96.81 = 41.06/x
  3. Step 3: Cross multiply
    70.19x = 96.81 × 41.06
  4. Step 4: Simplify right side
    70.19x = 3,974.53
  5. Step 5: Solve for x
    x = 3,974.53/70.19
  6. Step 6: Final answer
    x = 56.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.