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Finding the Fourth Proportional to 61.24, 83.90 and 59.08

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Solution

The fourth proportional to 61.24, 83.90 and 59.08 is: 80.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.24 : 83.90 = 59.08 : x
  2. Step 2: Convert to fraction form
    61.24/83.90 = 59.08/x
  3. Step 3: Cross multiply
    61.24x = 83.90 × 59.08
  4. Step 4: Simplify right side
    61.24x = 4,956.81
  5. Step 5: Solve for x
    x = 4,956.81/61.24
  6. Step 6: Final answer
    x = 80.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.