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Finding the Fourth Proportional to 45.76, 69.04 and 43.51

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Solution

The fourth proportional to 45.76, 69.04 and 43.51 is: 65.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.76 : 69.04 = 43.51 : x
  2. Step 2: Convert to fraction form
    45.76/69.04 = 43.51/x
  3. Step 3: Cross multiply
    45.76x = 69.04 × 43.51
  4. Step 4: Simplify right side
    45.76x = 3,003.93
  5. Step 5: Solve for x
    x = 3,003.93/45.76
  6. Step 6: Final answer
    x = 65.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.