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Finding the Fourth Proportional to 45.39, 67.77 and 42.66

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Solution

The fourth proportional to 45.39, 67.77 and 42.66 is: 63.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.39 : 67.77 = 42.66 : x
  2. Step 2: Convert to fraction form
    45.39/67.77 = 42.66/x
  3. Step 3: Cross multiply
    45.39x = 67.77 × 42.66
  4. Step 4: Simplify right side
    45.39x = 2,891.07
  5. Step 5: Solve for x
    x = 2,891.07/45.39
  6. Step 6: Final answer
    x = 63.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.