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Finding the Fourth Proportional to 46.77, 69.71 and 45.55

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Solution

The fourth proportional to 46.77, 69.71 and 45.55 is: 67.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.77 : 69.71 = 45.55 : x
  2. Step 2: Convert to fraction form
    46.77/69.71 = 45.55/x
  3. Step 3: Cross multiply
    46.77x = 69.71 × 45.55
  4. Step 4: Simplify right side
    46.77x = 3,175.29
  5. Step 5: Solve for x
    x = 3,175.29/46.77
  6. Step 6: Final answer
    x = 67.89

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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.