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Finding the Fourth Proportional to 70.57, 105.79 and 32.07

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Solution

The fourth proportional to 70.57, 105.79 and 32.07 is: 48.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.57 : 105.79 = 32.07 : x
  2. Step 2: Convert to fraction form
    70.57/105.79 = 32.07/x
  3. Step 3: Cross multiply
    70.57x = 105.79 × 32.07
  4. Step 4: Simplify right side
    70.57x = 3,392.69
  5. Step 5: Solve for x
    x = 3,392.69/70.57
  6. Step 6: Final answer
    x = 48.08

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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.