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Finding the Fourth Proportional to 44.60, 61.89 and 42.84

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Solution

The fourth proportional to 44.60, 61.89 and 42.84 is: 59.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.60 : 61.89 = 42.84 : x
  2. Step 2: Convert to fraction form
    44.60/61.89 = 42.84/x
  3. Step 3: Cross multiply
    44.60x = 61.89 × 42.84
  4. Step 4: Simplify right side
    44.60x = 2,651.37
  5. Step 5: Solve for x
    x = 2,651.37/44.60
  6. Step 6: Final answer
    x = 59.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.