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Finding the Fourth Proportional to 42.54, 58.68 and 31.65

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Solution

The fourth proportional to 42.54, 58.68 and 31.65 is: 43.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.54 : 58.68 = 31.65 : x
  2. Step 2: Convert to fraction form
    42.54/58.68 = 31.65/x
  3. Step 3: Cross multiply
    42.54x = 58.68 × 31.65
  4. Step 4: Simplify right side
    42.54x = 1,857.22
  5. Step 5: Solve for x
    x = 1,857.22/42.54
  6. Step 6: Final answer
    x = 43.66

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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.