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Finding the Fourth Proportional to 61.17, 91.71 and 22.13

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Solution

The fourth proportional to 61.17, 91.71 and 22.13 is: 33.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.17 : 91.71 = 22.13 : x
  2. Step 2: Convert to fraction form
    61.17/91.71 = 22.13/x
  3. Step 3: Cross multiply
    61.17x = 91.71 × 22.13
  4. Step 4: Simplify right side
    61.17x = 2,029.08
  5. Step 5: Solve for x
    x = 2,029.08/61.17
  6. Step 6: Final answer
    x = 33.17

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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.