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Finding the Fourth Proportional to 70.16, 96.81 and 41.05

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Solution

The fourth proportional to 70.16, 96.81 and 41.05 is: 56.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.16 : 96.81 = 41.05 : x
  2. Step 2: Convert to fraction form
    70.16/96.81 = 41.05/x
  3. Step 3: Cross multiply
    70.16x = 96.81 × 41.05
  4. Step 4: Simplify right side
    70.16x = 3,974.05
  5. Step 5: Solve for x
    x = 3,974.05/70.16
  6. Step 6: Final answer
    x = 56.64

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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.