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Finding the Fourth Proportional to 42.58, 58.70 and 31.66

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Solution

The fourth proportional to 42.58, 58.70 and 31.66 is: 43.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.58 : 58.70 = 31.66 : x
  2. Step 2: Convert to fraction form
    42.58/58.70 = 31.66/x
  3. Step 3: Cross multiply
    42.58x = 58.70 × 31.66
  4. Step 4: Simplify right side
    42.58x = 1,858.44
  5. Step 5: Solve for x
    x = 1,858.44/42.58
  6. Step 6: Final answer
    x = 43.65

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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.