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Finding the Fourth Proportional to 42.54, 58.65 and 36.69

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Solution

The fourth proportional to 42.54, 58.65 and 36.69 is: 50.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.54 : 58.65 = 36.69 : x
  2. Step 2: Convert to fraction form
    42.54/58.65 = 36.69/x
  3. Step 3: Cross multiply
    42.54x = 58.65 × 36.69
  4. Step 4: Simplify right side
    42.54x = 2,151.87
  5. Step 5: Solve for x
    x = 2,151.87/42.54
  6. Step 6: Final answer
    x = 50.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.