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Finding the Fourth Proportional to 70.58, 105.86 and 34.01

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Solution

The fourth proportional to 70.58, 105.86 and 34.01 is: 51.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.58 : 105.86 = 34.01 : x
  2. Step 2: Convert to fraction form
    70.58/105.86 = 34.01/x
  3. Step 3: Cross multiply
    70.58x = 105.86 × 34.01
  4. Step 4: Simplify right side
    70.58x = 3,600.65
  5. Step 5: Solve for x
    x = 3,600.65/70.58
  6. Step 6: Final answer
    x = 51.01

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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.