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Finding the Fourth Proportional to 70.81, 97.63 and 59.20

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Solution

The fourth proportional to 70.81, 97.63 and 59.20 is: 81.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.81 : 97.63 = 59.20 : x
  2. Step 2: Convert to fraction form
    70.81/97.63 = 59.20/x
  3. Step 3: Cross multiply
    70.81x = 97.63 × 59.20
  4. Step 4: Simplify right side
    70.81x = 5,779.70
  5. Step 5: Solve for x
    x = 5,779.70/70.81
  6. Step 6: Final answer
    x = 81.62

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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.