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Finding the Fourth Proportional to 44.66, 61.64 and 30.87

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Solution

The fourth proportional to 44.66, 61.64 and 30.87 is: 42.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.66 : 61.64 = 30.87 : x
  2. Step 2: Convert to fraction form
    44.66/61.64 = 30.87/x
  3. Step 3: Cross multiply
    44.66x = 61.64 × 30.87
  4. Step 4: Simplify right side
    44.66x = 1,902.67
  5. Step 5: Solve for x
    x = 1,902.67/44.66
  6. Step 6: Final answer
    x = 42.61

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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.