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Finding the Fourth Proportional to 43.23, 65.00 and 29.77

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Solution

The fourth proportional to 43.23, 65.00 and 29.77 is: 44.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.23 : 65.00 = 29.77 : x
  2. Step 2: Convert to fraction form
    43.23/65.00 = 29.77/x
  3. Step 3: Cross multiply
    43.23x = 65.00 × 29.77
  4. Step 4: Simplify right side
    43.23x = 1,934.96
  5. Step 5: Solve for x
    x = 1,934.96/43.23
  6. Step 6: Final answer
    x = 44.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.