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Finding the Fourth Proportional to 51.13, 77 and 43.57

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Solution

The fourth proportional to 51.13, 77 and 43.57 is: 65.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.13 : 77 = 43.57 : x
  2. Step 2: Convert to fraction form
    51.13/77 = 43.57/x
  3. Step 3: Cross multiply
    51.13x = 77 × 43.57
  4. Step 4: Simplify right side
    51.13x = 3,354.89
  5. Step 5: Solve for x
    x = 3,354.89/51.13
  6. Step 6: Final answer
    x = 65.61

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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.