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Finding the Fourth Proportional to 42.06, 58 and 27.51

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Solution

The fourth proportional to 42.06, 58 and 27.51 is: 37.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.06 : 58 = 27.51 : x
  2. Step 2: Convert to fraction form
    42.06/58 = 27.51/x
  3. Step 3: Cross multiply
    42.06x = 58 × 27.51
  4. Step 4: Simplify right side
    42.06x = 1,595.58
  5. Step 5: Solve for x
    x = 1,595.58/42.06
  6. Step 6: Final answer
    x = 37.94

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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.