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Finding the Fourth Proportional to 70.86, 97.75 and 43.23

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Solution

The fourth proportional to 70.86, 97.75 and 43.23 is: 59.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.86 : 97.75 = 43.23 : x
  2. Step 2: Convert to fraction form
    70.86/97.75 = 43.23/x
  3. Step 3: Cross multiply
    70.86x = 97.75 × 43.23
  4. Step 4: Simplify right side
    70.86x = 4,225.73
  5. Step 5: Solve for x
    x = 4,225.73/70.86
  6. Step 6: Final answer
    x = 59.63

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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.