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Finding the Fourth Proportional to 70.81, 105.62 and 60.05

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Solution

The fourth proportional to 70.81, 105.62 and 60.05 is: 89.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.81 : 105.62 = 60.05 : x
  2. Step 2: Convert to fraction form
    70.81/105.62 = 60.05/x
  3. Step 3: Cross multiply
    70.81x = 105.62 × 60.05
  4. Step 4: Simplify right side
    70.81x = 6,342.44
  5. Step 5: Solve for x
    x = 6,342.44/70.81
  6. Step 6: Final answer
    x = 89.57

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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.