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Finding the Fourth Proportional to 61.09, 91.64 and 22.59

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Solution

The fourth proportional to 61.09, 91.64 and 22.59 is: 33.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.09 : 91.64 = 22.59 : x
  2. Step 2: Convert to fraction form
    61.09/91.64 = 22.59/x
  3. Step 3: Cross multiply
    61.09x = 91.64 × 22.59
  4. Step 4: Simplify right side
    61.09x = 2,070.20
  5. Step 5: Solve for x
    x = 2,070.20/61.09
  6. Step 6: Final answer
    x = 33.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.