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Finding the Fourth Proportional to 29.46, 44.35 and 23.77

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Solution

The fourth proportional to 29.46, 44.35 and 23.77 is: 35.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.46 : 44.35 = 23.77 : x
  2. Step 2: Convert to fraction form
    29.46/44.35 = 23.77/x
  3. Step 3: Cross multiply
    29.46x = 44.35 × 23.77
  4. Step 4: Simplify right side
    29.46x = 1,054.07
  5. Step 5: Solve for x
    x = 1,054.07/29.46
  6. Step 6: Final answer
    x = 35.78

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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.