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Finding the Fourth Proportional to 61.11, 91.65 and 30.66

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Solution

The fourth proportional to 61.11, 91.65 and 30.66 is: 45.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.11 : 91.65 = 30.66 : x
  2. Step 2: Convert to fraction form
    61.11/91.65 = 30.66/x
  3. Step 3: Cross multiply
    61.11x = 91.65 × 30.66
  4. Step 4: Simplify right side
    61.11x = 2,809.99
  5. Step 5: Solve for x
    x = 2,809.99/61.11
  6. Step 6: Final answer
    x = 45.98

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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.