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Finding the Fourth Proportional to 59.09, 81.54 and 32.86

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Solution

The fourth proportional to 59.09, 81.54 and 32.86 is: 45.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.09 : 81.54 = 32.86 : x
  2. Step 2: Convert to fraction form
    59.09/81.54 = 32.86/x
  3. Step 3: Cross multiply
    59.09x = 81.54 × 32.86
  4. Step 4: Simplify right side
    59.09x = 2,679.74
  5. Step 5: Solve for x
    x = 2,679.74/59.09
  6. Step 6: Final answer
    x = 45.35

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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.