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Finding the Fourth Proportional to 61.23, 91.76 and 30.82

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Solution

The fourth proportional to 61.23, 91.76 and 30.82 is: 46.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.23 : 91.76 = 30.82 : x
  2. Step 2: Convert to fraction form
    61.23/91.76 = 30.82/x
  3. Step 3: Cross multiply
    61.23x = 91.76 × 30.82
  4. Step 4: Simplify right side
    61.23x = 2,827.95
  5. Step 5: Solve for x
    x = 2,827.95/61.23
  6. Step 6: Final answer
    x = 46.18

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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.