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Finding the Fourth Proportional to 42.30, 58.34 and 26.77

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Solution

The fourth proportional to 42.30, 58.34 and 26.77 is: 36.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.30 : 58.34 = 26.77 : x
  2. Step 2: Convert to fraction form
    42.30/58.34 = 26.77/x
  3. Step 3: Cross multiply
    42.30x = 58.34 × 26.77
  4. Step 4: Simplify right side
    42.30x = 1,561.48
  5. Step 5: Solve for x
    x = 1,561.48/42.30
  6. Step 6: Final answer
    x = 36.91

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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.