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Finding the Fourth Proportional to 42.19, 58.23 and 31.31

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Solution

The fourth proportional to 42.19, 58.23 and 31.31 is: 43.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.19 : 58.23 = 31.31 : x
  2. Step 2: Convert to fraction form
    42.19/58.23 = 31.31/x
  3. Step 3: Cross multiply
    42.19x = 58.23 × 31.31
  4. Step 4: Simplify right side
    42.19x = 1,823.07
  5. Step 5: Solve for x
    x = 1,823.07/42.19
  6. Step 6: Final answer
    x = 43.21

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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.