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Finding the Fourth Proportional to 70.79, 97.68 and 43.16

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Solution

The fourth proportional to 70.79, 97.68 and 43.16 is: 59.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.79 : 97.68 = 43.16 : x
  2. Step 2: Convert to fraction form
    70.79/97.68 = 43.16/x
  3. Step 3: Cross multiply
    70.79x = 97.68 × 43.16
  4. Step 4: Simplify right side
    70.79x = 4,215.38
  5. Step 5: Solve for x
    x = 4,215.38/70.79
  6. Step 6: Final answer
    x = 59.55

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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.